Questions on Word Problems: Geometry answered by real tutors!

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Question 1187703: https://imgur.com/mLTjbMU In the diagram line AD = 2 cm, EF = 1 cm, and parallel segments are indicated. If the total area of the trapezoid is 105 cm^2, what is the area, in cm^2, of triangle AMN?
Click here to see answer by ikleyn(52777)

Question 1188242: A 1 m high stake casts a shadow 6.5 m long. Find the height of a tree, in m, that casts a shadow 52 m long(at the same time and place)
Click here to see answer by ikleyn(52777)

Question 1188274: A gardener wants to enclose a garden using 80 concrete curbstones. Each 1m long.
A) how should the gardener lay out the curbstones to maximize the total enclosed area?
B) how should the gardener lay out the curbs tone to maximize the total enclosed area is the house is being used as one side?
C) how should the gardener lay out the curb stones to maximize the total enclosed area udon he wants to include a path of the curbstones down the middle of the garden?
Click here to see answer by Alan3354(69443)

Question 1188277: https://imgur.com/Vu0ABuI In the diagram, ABCG is a parallelogram, and BF = 40 cm, FE = 16 cm. Find the length, in cm, of line ED.
Click here to see answer by ikleyn(52777)

Question 1188275: https://imgur.com/mlmAPzV In the diagram, angles marked are equal. BD = 4 cm and BC = 10 cm. Find the area, in cm^2, of triangle ABC.
Click here to see answer by ikleyn(52777)

Question 1188279: https://imgur.com/c7zQ0QS In the diagram, AD is the median of triangle ABC. Find the area of triangle ABC.
Click here to see answer by Edwin McCravy(20054)

Question 1188279: https://imgur.com/c7zQ0QS In the diagram, AD is the median of triangle ABC. Find the area of triangle ABC.
Click here to see answer by greenestamps(13198)

Question 1188370: A square hold was drilled through a square prism. Find the area of shaded regions, including the unseen regions.
Click here to see answer by greenestamps(13198)

Question 1188406: hi
im confused of the definition of a line
cuz a line is an infinite amount of points that goes infinitely both ways
but points have no size and they are used to represent a location
so how can a line be made of points?
Click here to see answer by Alan3354(69443)

Question 1188508: Find the area of region ABCD in cm? if the radius of the circle is 2 cm and
both AB and CD are perpendicular to EF. Don’t know how to send photo of shape.
Click here to see answer by Alan3354(69443)

Question 1188582: A parallelogram whose diagonals are perpendicular is called a rhombus.
Given the quadrilateral with vertices 𝐴 (−3,2),𝐵(−2,6), 𝐶(2,7),𝐷(1,3),
a. Sketch the quadrilateral 𝐴BCD.
b. Verify that the quadrilateral ABCD is a parallelogram.
c. Verify that, in fact, it is a rhombus using the definition above.
d. Show that the rhombus can be subdivided into four right triangles.
e. Use part d. to find the area of the quadrilateral ABCD.
Click here to see answer by Solver92311(821)

Question 1188652: A bacteria culture starts with 280 bacteria and grows at a rate proportional to its size. After 5 hours there will be 1400 bacteria.
A. What will the population be after 4 hours?
B. How long will it take the population to reach 2630? Give your answer accurate to 2 decimal places.
Click here to see answer by ikleyn(52777)

Question 1188700: Let $a$, $b$, $c$, $d$, and $e$ be positive integers. The sum of the four numbers on each of the five segments connecting "points" of the star is 28. What is the value of the sum $a + b + c + d + e$?
https://latex.artofproblemsolving.com/8/f/3/8f3672db8454d57ff7de0ed65b3e243f7f4e6333.png
Click here to see answer by ikleyn(52777)

Question 1188796: The length of a rectangular kitchen is 𝒚 m and the width is 𝒙 m. If the length of the kitchen is
half the square of its width and its perimeter is 48 m, find the values of 𝒙 and 𝒚 (the
dimensions of the kitchen)
Click here to see answer by josgarithmetic(39617)

Question 1188816: Determine the smaller angle (Ac) formed by the hands of the clock at 3:30 PM. Give the angle coterminal with angle Ac such that Ac is greater than or equal to 360 degrees and smaller than 720 degrees.
Click here to see answer by Edwin McCravy(20054)

Question 1188292: an irregular pile of coal with plane faces is 16 ft. high and covers 600 ft. of level ground. it's mid-section and level top are estimated to contain 400 and 200 sq. ft., respectively. Find the cost of transporting it at $.75 per load, if the coal trucks hold 110 cu. ft. of coal.
Click here to see answer by greenestamps(13198)

Question 1188957: The Park Street Bridge in Alameda County, California is a double-leaf drawbridge. Each leaf of the bridge is 120 feet long. A ship that is 100 feet-wide needs to pass through the bridge. What is the minimum angle that each leaf of the bridge should be opened to in order to ensure that the ship will fit?
Click here to see answer by Alan3354(69443)

Question 1189018: what size would the receiving bay area be (for two rows of pallets and space between rows)?
Click here to see answer by ikleyn(52777)

Question 1189133: What is the volume of this prism?
Click here to see answer by ikleyn(52777)

Question 1189133: What is the volume of this prism?
Click here to see answer by Alan3354(69443)

Question 1189257: A rectangular piece of fabric is 4 times as long as its width. If it is 25% shorter and 200% wider, it will become a square piece of fabric with an area of 36 m2. What are the dimensions of the piece of fabric?
Click here to see answer by greenestamps(13198)

Question 1189307: Mary is making a party mix to bring to school. She believes that the perfect ratio of pretzels to peanuts is 3 to 5.If Mary knows that she is going to use 65 peanuts in the mix, how many pretzels will she need?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1189479: In the diagram below, Point X is the intersection of the two diagonals TW and UV of the cubical box illustrated. Given that UX is cm, what is the square of the area of triangle XYZ in cm^4 ?
The diagram: https://imgur.com/qPsILNG
Click here to see answer by ikleyn(52777)

Question 1189499: The lengths of the diagonals of a rhombus are 20 and 48 meters. What is the perimeter of the rhombus?
Click here to see answer by ikleyn(52777)

Question 1189502: To make a larger size of canned vegetables, the height of a cylinder is increased by 40%. By what percent must the radius increase for the volume to triple?
A. 47% B. 46% C.48% D. 49% E. 50%

Click here to see answer by ankor@dixie-net.com(22740)

Question 1189561: A rectangular swimming pool which measures 40m by 25m, is to be tripled in area, by extending each side by the same amount. Determine the amount extend each side by
Click here to see answer by ikleyn(52777)

Question 1189761: Circles M & N are tangent to each other and to AB & BC. If ∠ABC = 120°, what is the ratio of the radius of circle M to the radius of circle N?
Diagram: https://imgur.com/qJlAqQE
Click here to see answer by ikleyn(52777)

Question 1189759: A circle with area 1369ℼ cm^2 passes through A and B, and is tangent to line CD. If , find y in cm.
Diagram: https://imgur.com/gox1hfD (I tried my best to draw in the circle)
Click here to see answer by ikleyn(52777)

Question 1189792: A square garden has a walkway 3 ft wide around its outer edge.If the area of the entire garden, including the walkway, is 18,000 ft^2, what are the
dimensions of the planted area?
Click here to see answer by math_tutor2020(3816)

Question 1189805: You have 16 feet of fence to make a rectangular garden. Each side will measure a whole number of feet. How many different-sized rectangular (exclude squares) gardens can you make?
Click here to see answer by ikleyn(52777)

Question 1189947: https://hi-static.z-dn.net/files/d34/f45301bb1682a41c93819d7603b13876.png
I apologizes the image wouldn't show up in the in the space provided,so I just copied the link again sorry for the inconvenience.

A Land developer is dividing property into sections to make a new neighborhood.
1. Find area the, in square blocks, of the mall section of the property.
2.Find the area, in square blocks, of the park section of the property.
3.Find the total area, in square blocks, of the sections with homes
4.If the developer paid $500.00 per square block, how much did she pay for all the property being developed?
Click here to see answer by MathLover1(20849)

Question 1190019: The total expenditures on benefits (in billions of dollars) can be approximated by the function h(x)=23.4(1.08)^x , where x = 5 corresponds to the year 1995.
(a) What was the amount for total expenditures in 2011?
(b) What was the first full year in which expenditures exceeded $105 billion?
SOLVE A & B PLEASE
Click here to see answer by Boreal(15235)

Question 1190016: The worldwide number (in millions) of a particular phone sold can be approximated by the function f(x)=-871+398lnx, where x=11 corresponds to 2011.
(a) What was the number of worldwide sales for the particular phone in 2015?
(b) If the model continues to be accurate, what was the first full year in which the particular phone sales exceed 254 million?
PLEASE ANSWER A & B
Click here to see answer by Boreal(15235)

Question 1190049: The perimeter of a rectangular bakery is 174 feet. The area is 1,782 square feet. What are the dimensions of the bakery?
Click here to see answer by ikleyn(52777)

Question 1190344: You are building a gazebo for your mom; you want it to look like the picture below.
https://api.agilixbuzz.com/Resz/~0.GdgNB1aAgR8rzOIK.w_qyORvbuMWcugNpLlmTiJxbY3wfLwWkVK25oV0_CNs/48780464,D0,15,4/Assets/Media/Images/41.6-HOT3-Gazebo.jpg
a. Using geometry, name which quadrilaterals you see in the picture.
b. What type of quadrilateral is each side of the roof (see inset)?
c. What specific type must it be in order for each side of the roof to fit properly?
d. What is the length of the opposite leg on the side of the roof?
e. What measure is the other base angle?
f. What is the measure of the opposite angles?

Click here to see answer by greenestamps(13198)

Question 1190387: Come up with an example that describes a situation that could be modeled by the equation M = 50 + 6d.

Provide a sample solution to show that your example works and makes sense

Click here to see answer by MathLover1(20849)

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