Questions on Word Problems: Geometry answered by real tutors!

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Question 89: We have a rectangle where 2x+2y=45, and x=2/3y, solve for x (or Y).
How do you solve this?

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Question 19: what does the word "geometry" mean?


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Question 148: What are the keysteps to prove the following geometry problem?
FIND THE RADIUS OF THE CIRCLE INSCRIBED IN THE TRIANGLE ABC.
GIVEN: AC=BC=12 AB=8

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Question 96: A ladder of length 15 ft is placed against a building in such a way that the distance from the top of the ladder to the ground is 12ft. Find the distance from the bottom of the ladder to the building.

The length of a rectangular frame is 7 cm more than the width. the area inside the frame is 98 square cm. Find the width of the frame.
PLEASE HELP !!

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Question 267: A rectangle is 180 feet long and 50 feet wide. Find the length of a diagonal of the field. Give your answer in simplest radical form and as a decimal rounded to the nearest tenth of a foot.
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Question 510: this is an Ellipses problem but I can't figure it out. Could you please help me.
x^2+4y^2-10x-40y+121=0

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Question 512: The perimeter of a square is to be between 17 and 56 feet. Find all
possible values for the length of its sides.

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Question 573: The width of a rectangle is 3 meters more than one fourth its length. The perimeter is 26 meters. Find the length and width.
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Question 810: Find the lateral area of the small cone that has a radius of 3 inches and a height of 4 inches.
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Question 816: The Brown Family wants to carpet their livig room, which is 13 ft. by 16 ft.
They want a border of uniform width of wood floor to show around the carpet. How wide should the border be if they can afford to carpet only 108 sq. ft?
Please tell me in steps how to solve this.
Thanks

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Question 815: If the compliment of an angle is one tenth the supplement of the angle than what is the measure of the angle? I am unsure where to start.....
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Question 744: To find the height of a tower, a surveyor positions a transit that is 2 m tall at a spot 35 m from the base of the tower. She measures the angle of elevation to the top of the tower to be 58 degrees. What is the height of the tower, to the nearest meter?
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Question 849: the base of a triangle is (2x+3) feet long and the height is (x+3) feet long. If the area of the triangle is 27 square feet, find the base and height of the triangle.
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Question 868: A triangle has a perimeter of 197 cm. The sum of the smallest and medium sides is 49 more than the longest side. The difference between the longest and shortest sides is 22. Find the legth of all three sides.
HELP!
I know I have to solve by coming p with a system of equation, what I have is:
X=longest, Y=shortest, Z=medium
Y + Z = X + 49
X - 22 = Y
X + Y + Z = 197
Thank you for your time.

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Question 888: The area of a rectangle is x^2-6x+58. Find x if the area of the rectangle is 50 square units.
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Question 886: The longer leg of a right triangle is 3 inches longer than x, the length of the shorter leg. The hypotenuse is 15 inches long. The following equation shows the relationship between the sides of the triangle.

x^2+(x+3)^2=225
What is the length of the shorter leg?

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Question 970: A piece of wire 38m long is bent into the shape of a rectangle that is twice as long as it is wide . Find its dimensions.
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Question 1085: It's a brilliantly sunny day. I'm 5'2" tall and my shadow is 6'.
The tree across the street's shadow is 18'. How tall is the tree?

The building across the other street is 30' tall . How tall is it's shadow?

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Question 1102: I have a box with a square top. The front face of the box has an area of A=x^3-2x^2-2x-3. The height of the box is h = x^2 + x + 1. Find a formula for the rea of the top square in terms of x.
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Question 1197: what is the longest line you can draw a ruler on a piece of paper 20cm by 30cm? can you please send me the question as soon as possible please!!!!!!THANK YOU
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Question 1204: The perimeter of a triangle is 195mm. If the lengths of the sides are consecutive odds intergers, how do I find the length of each side?
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Question 1185: im working with the pythagorean theorem
how do you solve for c if a=12 and b=15 so far ive got to 12 squared+ 15 squared=csquared

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Question 1229: a full turn is 360 degree, how many degrees is 1/6 of a turn
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Question 1227: this refers to similar figures. I need to know the ratio of perimeters and areas of the scale factor 1:4, and r:2s, and i need to know the raiot of areas and the scale factors of ther ratio of perimeters 3:13, and using the ratio of areas 9:64 i need to know ratio of perimeters and the scale factors. Then my next question is this, L, M, and N aare the midpoints of the sides of triangle ABC. Find the ratio of the perimeters and the ratio of the areas of triangle LMN and triangle ABC.
Also, A quadrilateral with sides 8 cm, 9 cm, 6cm, and 5cm, has and area of 45cm2. Find the area of similar quadrilateral whose longest side is 15cm.

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Question 1366: The owner of a cannery wants to design a can with a volume of 300 cubic centimeters. He wants the can to be made of the least amount of material in an effort to minimize the cost of manufacturing. Find the radius and height of the can that would satisfy his requirements.
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Question 1369: The area of the circle circumscribed about regular heptagon ABCDEFG is 196(pie). The bisectors of angles A and D intersect at P. Find AP.
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Question 1378: A ship on the ocean surface detects a sunken ship on the ocean floor at an angle of depression of 50 degrees. The distance between the ship on the surface and the sunken ship on the ocean floor is 200 meters. If the ocean floor is level in this area how far above the ocean floor to the nearest meter is the ship on the surface.
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Question 1377: A rectangular stage has an area of 600 square yards. The length of the stage must be more than 10 yard more than the width. Find the dimension of the stage nedded.
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Question 1436: 2 trapezoid questions what is the sq feet of the following
side 1 base 81 inches
side 2 h 82 inches
side 3 h 58 inches
side 4 angle wall 72 inches

side 1 base 77 inches
side 2 h 36 inches
side 3 h 32 inches
side 4 angle wall 72 inches
thx

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Question 1482: a trapezoid with bases 12 and 17 and height 6, what is the area
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Question 1491: find the length and width of a rectangle having a perimeter of 200 meteres that will maximize its area.
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Question 1478: the triangle with sides of 5,8,9, is acute, right or obtuse
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Question 1778: Tell me about mansuration. Give me guidance to practice it please.
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Question 1763: A rectangular yard is surrounded by a fence that is 4 feet longer than it is wide. If the perimeter of the fence is 424 feet, what are the dimensions of the yard it encloses?
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Question 1753: How many interior angles does a undecagon have?
A. 7
B. 9
C. 11
D. 110
How many diagonals can be drawn from each vertex of a decagon?
A. 7
B. 8
C. 9
D. 10
How many distinct diagonals does a hexagon have?
A. 6
B. 9
C. 12
D. 18
Calculate the sum of the interior angles of a convex hexagon.
A. 120°
B. 720°
C. 900°
D. 1080°
Calculate the sum of the interior angles of a convex 40-gon.
A. 171°
B. 360°
C. 6840°
D. 7200°
If possible, give the name of the convex polygon in which the sum of the interior angles equals 1260°.
A. hexagon
B. heptagon
C. nonagon
D. no such polygon exists
In the convex quadrilateral ABCD, if A D, mB = 110°, and mC = 60°, find mA.
A. 95°
B. 170°
C. 190°
D. 360°
Suppose the interior angles of a convex pentagon are five consecutive numbers, find the measure of the largest angle.
A. 105°
B. 106°
C. 109°
D. 110°
Use the following figure to answer question 12.
Which list of angles represents one set of exterior angles of LMN?
A. 1, 2, and 3
B. 2, 5, and 8
C. 3, 6, and 9
D. 1, 3, 4, 6, 7, and 9
Question 12


If five of the exterior angles of a convex hexagon measure 55°, 60°, 63°, 70°, and 81°, find the measure of the sixth exterior angle.
A. 31°
B. 60°
C. 120°
D. 391°
If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17, 3x - 4, 3x - 10, and 4x, calculate the smallest of the eight angles.
A. 19°
B. 21°
C. 32°
D. 37°
How many sides would a regular polygon have if each interior angle measures 162°?
A. 10
B. 12
C. 18
D. 20
How many angles would a regular polygon have if each exterior angle measures 5°?
A. 36
B. 37
C. 72
D. 74
It is possible for the exterior angles of a regular polygon to measure 30°.
A. true
B. false

It is possible for the interior angles of a regular polygon to measure 145°.
A. true
B. false
Calculate the measure for each exterior angle of a regular nonagon.
A. 20°
B. 40°
C. 140°
D. 1260°
Calculate the measure for each interior angle of a regular 15-gon.
A. 12°
B. 24°
C. 156°
D. 2340°


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Question 1814: How can I find the height of a trapezoid using the Pythagorean Theorem?
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Question 1984: How do you figure out the length of a side of a right angle when you know the length of the other two sides?
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Question 2298: my room is 12 ft x 18 ft what is the area and perimeter?
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Question 2324: Hi there,
I'm trying to help my little sister on her geometry final. She is supposed to present a problem and for a pyramid with a hexagon base to her entire class. The problem here is that she needs to create a visual aid (pyramid w/hexagon base) based on a real building but we can't find one. If you know one can you please let me know? Thank you so much.
Desperate older sister

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Question 2322: How do you find the maximum area of a rectangle inscribed in a triangle?
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Question 2279: Is it possible to have a regular polygon with interior angles measuring 15 degrees? If so how many sides does it have?
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Question 2275: a rectangle length is 5cm more than its width.if the preimeter is 40cm find the length and width

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Question 2446: Please graph A (2,-2), B (2,-1), C (2,0) D (2,1) E (2,2) F(1,2) G (0,2) H (-1,2) I (-2,2) J (-2,1) K(-2,0) L (-2,-1) M (-2,-2) N (-1,-2) O (0,0) P (0,-2) Q (1,-2) Line j = ME Use this figure to complete each statement
5. S:(x,y) -> (-x,-y), S:F -> ____.
6. T:(x,y) -> (x + 2, y-1). T:L -> _____.
7. Ry:J -> ____.
8. Rx:B -> ____.
9. Rj:Q -> ____>
10. Cursive Ro 90:C -> ____.
11. Cursive Ro 180:N -> _____.
12. Ho:K -> ____.
13. Hc:B -> ____.
Thank you Please reply

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020