Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 255251: A piece of wire 64 centimeters in length is cut into two parts. Each part is then bent to form a square. The total area of the two squares is 130 square centimeters. How much longer is a side of the larger square than a side of the smaller square?

Click here to see answer by palanisamy(496)

Question 255274: The surface area of a sphere is 3600 pi square inches. If v represents the volume of the sphere in cubic inches, what is v/pi ?
Click here to see answer by Theo(3504)

Question 255263: If an arc of 45 degrees on circle A has the same length as an arc of 30 degrees on circle B, find the ratio of the area of circle A to the area of circle B.
Click here to see answer by jsmallt9(3296)

Question 255305: The volume V of a sphere of radius r is V= 4/3, pie R squared.
If the radius of one sphere is 4 time the radius of the other and the smaller sphere has volume 500 cubic feet, wht is the volume in cubic feet, of the larger sphere?
Click here to see answer by Alan3354(31515)

Question 255286: the permiter of a rectangle is 200 inches. the length exceeds the widthe by 20 inches. find the length and width
Click here to see answer by unlockmath(1614)

Question 255410: An investment of $4600 is made at an annual simple interest rate of 6.8%. How much additional money must be invested at an annual simple interest rate of 9% so that the total interest earned is 8% of the total investment?
Click here to see answer by checkley77(12569)

Question 255593: A certain right triangle has its area numerically equal to its perimeter. The length of each side is an even integer. What is the perimeter?
(1) 26 (2) 28 (3) 30 (4) 32 (5) None of the above

Click here to see answer by palanisamy(496)

Question 255269: A circle is inscribed in a given square and another circle is circumscribed about the same square. If the area of the circumscribed circle is 4, what is the area of the inscribed circle?

Click here to see answer by ankor@dixie-net.com(15746)

Question 255687: A family needs a tent that measures at least 10m^3 and the tent (isosceles triangular prism) they have has a height of 2m, and a base length of 3m. However, the length is unknown, but the surface area outside the tent (including bottom) is 38m^2. Will the tent be big enough for them?

Thank you for your help...
Click here to see answer by CharlesG2(828)

Question 255603: Find the coordinates of point P that is 1/3 of the way from A(4,-3) to B(1,3). Write your answer as an ordered pair (x, y).
Click here to see answer by Alan3354(31515)

Question 255604: Find the area of a circle inscribed in a rhombus whose perimeter is 100 cm, and
whose longer diagonal is 40 cm.
Click here to see answer by edjones(7569)

Question 255715: Each side of a square is 4 m long. When each side is increased by x meters, the area is doubled. Find the value of x
Click here to see answer by edjones(7569)

Question 255717: the measures of two angles are 53 degrees and 76 degrees ''classify each angle''
Click here to see answer by Fombitz(13828)

Question 255717: the measures of two angles are 53 degrees and 76 degrees ''classify each angle''
Click here to see answer by checkley77(12569)

Question 255518: Ray is late for work, but would like to drink some coffee before he leaves. The coffee in the pot is too hot, so Ray puts 20 small ice cubes in a mug before pouring in the coffee. The ice cubes measure 1 cm per side. The mug is cylindrical, and has a height of 9 cm and a base of 7 cm. What is volume of the coffee that will fill the mug after the ice cubes have been added (round to the nearest whole number)?
Click here to see answer by solver91311(17077)

Question 256002: In the standard (x,y) coordinate plane, point M with coordinates (5,4) is the midpoint of AB, and B has coordinates (7,3). What are the coordinates of A ?
A. (17,11) B. ( 9, 2) C. ( 6, 3.5) D. ( 3, 5) E. (−3,−5)
Click here to see answer by Theo(3504)

Question 256021: Cube A has an edge length of 2 inches. Cube B has an edge length double that of Cube A. What is the volume, in cubic inches, of Cube B ?
A. 4 B. 8 C. 16 D. 32 E. 64
Click here to see answer by drk(1908)

Question 256030: The Maximum Garden Problem. A farmer has 230 ft
of fence to enclose a rectangular garden. What is the
largest garden area that can be enclosed with the 230 ft
of fence? Explain your work
Click here to see answer by drk(1908)

Question 256013: If a 30° - 60° - 90° triangle has a perimeter of 12 units and its area is in the form of (a√b - c), then determine the numerical value of (a + b + c).
Click here to see answer by drk(1908)

Question 256076: as the sun sets in the west, a pole casts a shadow 7.8m long. the angle of elevation of the sun is 26 degrees. find the height f the pole. round your answer to the nearest tenth of a meter.
Click here to see answer by richwmiller(9144)

Question 256207: if the sum of nine angles of a decagon is 1350 degrees, how large is theh tenth angle?
Click here to see answer by solver91311(17077)

Question 256212: A rectangle parcel of land is 50ft wide. The length of a diagonal between opposite corners is 10ft more than the length of the parcel. What is the length of the parcel?
x= length in ft of the parcel
area = length x width
x^2 + 50^2 = (x + 100)^2
x^2 + 2500 = x^2 + 100
Click here to see answer by solver91311(17077)

Question 256012: Determine the area of an isosceles trapezoid with sides of lengths 5,8,5,14 units.
Click here to see answer by scott8148(6628)

Question 256309: A man is walking away from a lamppost with a light source h = 6 m above the ground. The man is m = 1.5 m tall. How long is the man's shadow when he is d = 11 m from the lamppost? (Hint: Use similar triangles.)
Click here to see answer by jojo14344(1512)

Question 256379: For how many integer values of x does there exist a triangle whose sides have
length 2 1/2, 5, and x ?
Click here to see answer by Edwin McCravy(8999)

Question 256378: The sides of a triangle are k, k - 3, and k + 3. If the area of the triangle is
√1200 find the value of k.
Click here to see answer by Edwin McCravy(8999)

Question 256446: Maria has $2.10 in nickels and dimes in her pocket. She has three times more dimes than nickels. Write a system of equations that could be used to solve this problem. Solve the system of equations to determine the number of each coin that Maria has.
Click here to see answer by richwmiller(9144)

Question 256498: The problem is: An ant is 120 ft. from an 80ft. tall tree whose top is the visual line of a 600 ft. tall bldg. How far is tree from building? The teacher gave this: 280/3120 = 600/120 + x. Then he cross multiplied and got
240 + 2x = 1800 then he solved for x and got x = 780 ft. as answer. I have no idea where the 280 or 3120 came from...can anyone help? Thank you. This is for 9th grade Algebra I.
Click here to see answer by ptaylor(2052)

Question 256213: A running track has an oval shape with straight sides (box shape) and semicircular ends to create a track. If the length of the track is 440yd and the two straight parts (box shape) are each 110yd long, what is the radius of the semicircular parts (to the nearest yard)?
Click here to see answer by ankor@dixie-net.com(15746)

Question 256737: Going into the final exam which will count as two test, amelia has test scores of 77 86 74 61 and 92. What score does amelia need on the final to have an average of 80?
Click here to see answer by richwmiller(9144)

Question 256781: If the length and width of a rectangle were each increased by 1, the area would be
84. The area would be 48 if the length and width were each diminished by 1.
Find the perimeter of the original rectangle.
Click here to see answer by Theo(3504)

Question 256773: Two storage sheds are to have the same area. One is square and one is rectangular. The rectangular shed is 2 meters wide and 18 meters long. How large is one side of the square shed in meters?
Click here to see answer by Fombitz(13828)

Question 256885: The length of a rectangle is 2 centimeters less than twice its width. The perimeter of the rectangle is 32 cm. What are the dimensions of the rectangle?
Click here to see answer by EMStelley(187)

Question 256977: if you were to trim this rectangle so that it was a square measuring 2 1/4 cm on each side how much would you cut from the base and from the height?
Click here to see answer by solver91311(17077)

Question 257032: im not sure how to start the problem shown below:
The diagonal of a square measures 32 meters. What is the area
of the square?
Click here to see answer by solver91311(17077)

Question 257092: (t+k)/2=(t^2-t-7)/(2+2t)
solve for t.
Click here to see answer by stanbon(57962)

Question 257092: (t+k)/2=(t^2-t-7)/(2+2t)
solve for t.
Click here to see answer by drk(1908)

Question 257098: Jane deposited $22,000 at a bank that pays 10% interest. Bill deposited $16,000 at a bank that pays 16% interest. Who will receive more interest in a year,and by how much more?

Click here to see answer by rajagopalan(158)

Question 257194: A cube and a sphere would have the same volume if the sphere’s radius were
halved. What is the exact ratio of the sphere’s radius to the cube’s side?
Click here to see answer by Theo(3504)

Question 257144: the volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express answer as a common fraction.
Click here to see answer by ankor@dixie-net.com(15746)

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