Questions on Geometry: Area and Surface Area answered by real tutors!

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Question 859053: The length of a rectangle is 1ft. more than twice the width, and the area of the rectangle is 66 ft^2. Find the dimensions of the rectangle.
length:
width:

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Question 859486: If we suppose 4800 km to 500 cm then what will be the value of 12100km?
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Question 859635: The large sprocket on the pedals of a bicycle has 50 teeth and the small sprocket on the wheel has 20 teeth. when the pedals make two complete revolutions, how many revolutions does the wheel make?

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Question 859800: If the length width and height are are changed to 1/2 their origional size how does it affect the surface area
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Question 859873: Draw a cylinder with a surface area of 136 pi cm squared.

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Question 860045: The surface area of a cube is found using the formula SA=6s^2 where s is the side length. If the surface area of a cube is 294 square meters, what is the length of the cube, in meters?
A.
7
B.
24.5
C.
42
D.
49

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Question 860017: What is the dimension of a tank that is 592 cubed and 8 unit tall
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Question 860281: Radius = 4 feet; height = 6 feet
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Question 860211: Jessica wants
to tile her kitchen floor using
tiles in the shape of a regular pentagon.
Will she be able to tile the floor without leaving any gaps?
Explain your answer fully.

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Question 860551: A cylinder has a surface area of 15 square metres (including
the areas of the ends) and a diameter of 95 cm. What is the
height of the cylinder in metres?
I have all the values like r= 0.475 but I can't figure out how to solve for H. I've tried division and multiplication. I'm so confused!
15m^2= 2 pi 0.475^2 + 2 pi 0.475* h
Thank you in advance! :)

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Question 860625: A can of play dough is cylindrical. The can is 7 cm wide and 7 cm tall. If the label on the can is 3 cm tall and goes all around the can, how much paper is needed for the label to the nearest tenth. Use 3.14 for pi.
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Question 861025: I need help with this:
A prism has a surface area of 198m2.. what is the surface area after reduction?
please show how you did it.

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Question 861102: I have a square with the length of 12.25 inches and width of 15.25inches and I want to cut it into 3.5 in squares how many squares will I have?
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Question 861145: A cube has a surface area of 150 square meters. Find the lenght of each side. I tried finding the answer, do you have to divide 150 by 6?
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Question 861272: My art students and I have an applied math question in the form of a word problem:
My art students and I are creating mosaics on 7 cylindrical concrete planters located at the front entrance of our school. The cylinder dimensions are H=24" and D=34.7" (OK to round up to 36"). We cannot imagine making these mosaics with 1" tiles, which would mean hand placing over 18,000 tiles on approximately 130 square feet of surface area, in the next two months! What is the largest tile width we can lay on these large cylinders which will appear to fit the surface of the cylinder. We are likely using glass tile and stained glass which are 1/8" thick. The tiles will be glued using Thinset mortar at about 1/16" thick. Once all tiles are in place, the mosaics will be grouted to weatherproof, fill gaps and unify the entire "look" of the image.
I recently spoke with a world-renowned mosaicist who created a similar-sized cylindrical mosaic. She told me she believes she was able to use tiles about 5-6" wide without having noticeable sharp edges sticking out.
I really appreciate your help!
Sincerely,
Julie Muellejans

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Question 861478: A bedroom door has a perimeter of 26 feet and an area of 36 square feet. What are the dimensions of the door?
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Question 861530: Marty is painting the outside of a box that is 24 inches long, 18 inches wide, and 6 inches tall. What is the surface area of the box?
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Question 861570: show me how to find the area of the shaded region using the formula.
given degree over 360 times pie r^2 minus 1/2 height times base

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Question 861678: A square painting is surrounded by a frame. The outside edges of the frame are (3x-2) ft. in length and the inside edges of the frame are (x+7) ft in length. What is the total area of the frame?
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Question 861795: if the perimeter of a room is 11' by 20' and you want to use oak trim with each piece 4ft long how many pieces would you need?
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Question 861792: The walls in the living room is 9 feet tall without including doors and windows what is the total wall area of the four walls in the living room include units?
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Question 861812: the surface area of a cone is 1130ft2. the radius is 10ft. what is the lateral area of the cone to the nearest whole number? use 3.14 for n

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Question 861825: If the area of the floor space is 220sqft and the walls are 9 feet tall ignoring windows and doors what is the total wall area of the four walls?
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Question 861854: What are one to three activities that helped you understand the concept of area? Might the same activities help children understand the concept? Explain.


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Question 861845: the measurement of the kitchen is 11' by 11' I got 121sqft as the floor area. I needed to find the area of one piece of tile which was 1.5ft by 1.5ft I got 6 then I had to figure how many tiles I needed to purchase to cover kitchen floor I got 20tiles. my question is did I do it right?
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Question 861845: the measurement of the kitchen is 11' by 11' I got 121sqft as the floor area. I needed to find the area of one piece of tile which was 1.5ft by 1.5ft I got 6 then I had to figure how many tiles I needed to purchase to cover kitchen floor I got 20tiles. my question is did I do it right?
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Question 861419: Find the area of the sector formed by central angle 3π/5 in a circle of radius r= 3m

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Question 862870: a manufacturer wants to make a rectangular storage box with the volume .75 cubic meters, length 1.5 meters, and width .4 meters. What is the height?

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Question 863143: A(5;5), B(-7;1), C(1;-7) are the vertices of triangle ABC which is an isosceles triangle. D(x;y) is a point in Quadrant 4 such that ABCD is a parallelogram. Calculate the area of ABCD correct to 3 decimal places.
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Question 863362: I'm trying to build a chicken coop. It's going to be A-frame, so I need to know the measurements for a triangle. The entire coop needs to be 50 square feet, so how tall and how wide and how long does it need to be?
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Question 863392: The surface area of two similar solids are 394ft squared and 1134ft squared. The volume of the larger solid is 1745ft cubed. What is the volume of the smaller solid?
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Question 863452: The surface area of a certain cube is
600 square inches.
What is the new surface area of the cube if
the length of each edge is reduced by half

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Question 863625: Jim’s room is the shape of a rectangle. He wants to put carpet on the floor.
The length of the room is 11m and the width is 9m.
Both measurements are given to the nearest meter.
Find the lower bound of the area of the room

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Question 863775: Hello, can you please help me with this math question? I have no idea how to do it...
I have to find the expression of the area and perimeter of this figure: https://s.yimg.com/hd/answers/i/687b6927d44f4be4bb240b80ea6f41f9_A.png?a=answers&mr=0&x=1397592236&s=f74523b10b44fd7bb3c82c092ad3e67e
(It is understood as perimeter, the line that defines the boundary of the figure)
Thank you so much in advance!

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Question 863839: If the sides of a square are made one-fifth the original length, what fraction of the original area is the new area?
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Question 863807: A parcel delivery service has contracted you to design an open box with square base of length x cm and height y cm and a volume of 3600 cubic cm. Find the total surface area in terms of x and y. Also determine the dimensions for minimum surface area. (Round your answers correct to two decimal places if needed.) I know the formula to solve this is S=x^2+4xy but I don't know where to start. Can someone break this down step by step so I can understand.
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Question 864008: A cylindrical container is to have a volume of 100 pi square inches. Suppose that the material for the curved side costs twice as much as the material for the top, while the material for the bottom costs three times as much as the material for the top. Find the dimensions of the cylinder that minimize cost of construction.
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Question 864151: What is the area of the shaded region in the given circle in the terms of π and in simplest form?

Link to Picture: https://lh5.ggpht.com/pdbAwEoKhOOkqgmv0YtONOEAamxjaqn3uw8pZLM8vnm5U3spl0xWSZGUKQKDbJ8oHtaDTw=s93
(The angle is 60 and the radius is 6m)

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Question 864337: If the area of a rectangular shape is 324 square feet and the width is 12 inches. How long is the whole perimeter of the shape
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Question 864413: The combined volume of two identical cubes is 250 cubic centimeters. What is the measure of one cube's edge?
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Question 864416: Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B, and prism B and C have equal volume. What is the volume of each prism?
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Question 864780: If Sara buys 112 tiles and plans to use all of them for her pool border, what size should her pool be?
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Question 864796: A sphere fits snugly inside a cube with 6-in edges. What is the approximate volume of the space between the sphere and the cube to the nearest whole number?

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Question 864803: The length of a rectangular garden is 3 yards more than its width. If the area of the garden is 36 square yards, which equation could be used to find the dimensions of the garden?
[1] x2 + 3x + 36 = 0 [3] x2 - 3x - 36 = 0
[2] x2 - 3x + 36 = 0 [4] x2 + 3x - 36 = 0

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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