Questions on Word Problems: Geometry answered by real tutors!

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Question 946889: One square is 2 times as long as another square. Find the area of the larger square if the sum of the areas is 45 m2.

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Question 946872: is the perimeter of a rectangle is 244 and the height is 28 inches more than the width, what is the width
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Question 946891: A 26-by-31-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. The margins at the sides and top are to have the same width, and the bottom margin is to be twice as wide as the other margins. Find the width of the margins if the printed area is to be 440 in^2.
sides and top:__________in
bottom:___________in

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Question 946893: A 26-by-31-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. The margins at the sides and top are to have the same width, and the bottom margin is to be twice as wide as the other margins. Find the width of the margins if the printed area is to be 440 in^2.
sides and top_______________in
bottom________________in

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Question 947011: How to find the volume of a sphere with a surface area of 196 pi miles?
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Question 947011: How to find the volume of a sphere with a surface area of 196 pi miles?
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Question 947009: A picture frame (see figure) has a total perimeter of 5 feet. The width of the frame is 0.64 times its length. Find the dimensions of the frame. (Round your answers to two decimal places.)
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Question 946895: A window panel for a sun porch consists of a 7-ft high rectangular window stacked above a square window. The windows have the same width. If the total area of the window panel is 18-ft^2, find the dimensions of each window.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 947113: Consider rectangle BCDE. If BC=16.5 and CD= 4.3, what is the perimeter of the rectanle?
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Question 947114: Consider rectangle BCDE, if m<4= 35, find the measure of each numbered angle.
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Question 947046: the length of the sides of a triangle in the extended ratio 7:8:9 the perimeter of the triangle is 96cm what are the length of the sides

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Question 947067: X = {x ∈ ℕ: 2x + 8 = 0} and Y = {x ∈ ℕ : 3x – 6 = 0)
Find (a) X ∩ Y (b) X ∪ Y

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Question 946478: I was wondering how I can translate this word problem into algebraic expression:
A rectangle has a perimeter of 20.0m. Given that it's length is 3.00 times it's breadth, find the breadth and it's area.

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Question 947120: Mr tladi wants to pave his verandah. If the length of his verandah is 4m and the breadth is 3m, how many m2 of bricks does he need
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Question 947185: A company makes two sizes of solar panels in the shape of a regular hexagon. The length of the two hexagon's sides are in a ratio of 2 to 3. If the area of the smaller solar panel is 8 square feet, what is the area of the larger solar panel?

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Question 947213: The heights and bases of two geometric shapes are modeled by the expressions shown.
Triangle: h=3x+2 and b=2x+3
Parallelogram: h=3x+4 and b=3x+2
What expression represents the number of units by which the area of the parallelogram is greater than the area of the triangle?

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Question 947306: The surface area of a cube is 124 square cm. What is the volume of the cube, accurate to two decimal places?
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Question 947307: The height y (in feet) of a ball thrown by a child is
y=-\frac{1}{16}x^2 + 6 x + 3
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand? (Hint: Find y when x=0) Your answer is y=
(b) How far from the child does the ball strike the ground?

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Question 947304: The perimeter of a rectangle is 22, and its diagonal is \sqrt{61}. Find its dimensions and area, accurate to two decimal places.
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Question 947402: The perimeter of the bottom of a rectangular swimming pool is 114 meters. The pool is 37 meters long. How wide is it?
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Question 947414: What is the Diameter of a square, top measures 4.75" and the side measures 4"
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Question 947432: Find the exact length of the altitude drawn to the hypotenuse. Do not round. The triangle is not drawn to scale.
A triangle with base measures of 9 & 17.

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Question 947482: a rectangle with an area greater than 64 square centimeters but less than 140 square
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Question 947278: A patio has an area of 64 m2. What is the area of the patio in centimeters2?
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Question 947550: the area of a circle is increased by 45 pi square centimetres if the diameter is increased by 6 cm. what was the original circumference of the circle?
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Question 947550: the area of a circle is increased by 45 pi square centimetres if the diameter is increased by 6 cm. what was the original circumference of the circle?
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Question 947539: 1.please help me to solve this problem abcd is quadrilateral prove that (ab+bc+cd+da)>(av+bd)
2.find the length of hypotenuse of right triangle,the other two sides are
9 cm,12 cm

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Question 947574: if a circle with diameter 2700m it containing a square then what is the area of square
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Question 947597: Hector built a rectangular fish pond surrounded by a brick wall 3 m wide with an area of 132m squared. The pond is twice as long as it is wide. What are the dimensions of the pond.
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Question 947619: Area1=x(squared)+40x+400
Area2=x(square)
How many meters longer is the side length of area1 than the side length of area2?

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Question 947855: A 12ft. rope secures a boat to a pier. The boat has an 11ft. horizontal distance from the pier. Assume that the lower end of the rope is at water level. What is the angel formed by the rope and the water?
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Question 947893: A rectangle has a perimeter of 48, the ratio of the sides is 5:4. What is the length of the shortest side?
Simplest way to work this out, must be done only using scrap paper.

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Question 947893: A rectangle has a perimeter of 48, the ratio of the sides is 5:4. What is the length of the shortest side?
Simplest way to work this out, must be done only using scrap paper.

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Question 947645: The height of mountain Upper A is 65 feet more than half the height of mountain Upper C.
The height of mountain Upper B is 36 feet more than three times the height of mountain Upper D.
The mountain Upper C is 164 feet taller than mountain Upper D.
The mountain Upper E is 137 feet shorter than mountain Upper D.
The sum of the five heights is 2680 feet.

What is the height of each mountain

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Question 947273: What is the length of the longest stick that can go in a box that measures 4 x 3 x 12?
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Question 947652: a ramu tin maker converts cubical metallic box into 10 cylindrical tins.Side of the cube is 50 cm and radius of cylinder is 7 cm, find the height of each cylinder so made,if the wastage of 12% is incurred in the process.
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Question 948270: A triangle is 10 inches wider than it is tall. If the area of the triangle is 28 square inches, what are the lengths of the height and the base?
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Question 947040: what are the dimensions of an isosceles right triangle with a 2inch hypotenuse and an area of 1 square inch?
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Question 947041: write an expression that represents how much larger the area of a square with side length of 6 inches is than the area of a square with a side length of 2 inches
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Question 947025: Triangle XYZ has vertices X(6,-2.3), Y(7.5,5), and Z(8,4). When translated, X' has the coordinates (2.8,-1.3). Write a rule to describe this transformation. Then find the coordinates of Y' and Z'.
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Question 947625: A rectangular room is 1.4 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.
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Question 948347: A rectangular park is 55 meters wide and 85 meters long give the width and length of a similar rectangle with the same perimeter but a larger area
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Question 948426: a rectangular pool is 6m x 7.5m and is surrounded by a path 1m wide. what is the area of the path
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Question 948575: Please help me answer this: show that m(x^2-x)+1-m=x^2 has real roots for all real values of m. (P.S. Do forgive me for all the inconvenience.)
Click here to see answer by josgarithmetic(39617) About Me 

Question 948574: Please help me answer this: Show, without solving the equation, that the roots of 2x^2+(2k-1)x=k are rational for all rational values of k.
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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