Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 101649: Find the three angles of a triangle if the second angle is twenty more than the first angle, and the third angle is twice the frist angle.
Click here to see answer by Fombitz(32388)

Question 101992: The lenght of a rectangle is one inch less than twice its width. The diagonal of the rectangle is two inches more than its length. Find the area of the rectangle.
Click here to see answer by edjones(8007)

Question 101927: Julie stone designed a rectangular patio that is 25 ft by 40 ft. This patio is surrounded by a terraced strip of uniform width planted with small trees and shrubs. if the area A of this terraced strip is 504 ft^2, find the width of x of the strip.
Click here to see answer by ankor@dixie-net.com(22740)

Question 102041: The angle of elevation from the tip of the shadow of a 12-foot flag pole to the top of the pole is 60 degrees. How far is it from the tip of the shadow to the top of the pole? Round your answer to the nearest tenth of a foot.
I have answered this question twice now and both times gotten it wrong...please help me!
Click here to see answer by ankor@dixie-net.com(22740)

Question 102043: A quadrilateral enclosure has sides measuring 89.7 feet, 93.75 feet, 91.279 feet, and 88.52 feet. Use the correct number of significant digits to find the perimeter of the enclosure.
I have answered this question twice and gotten it wrong twice. Please help me!
Click here to see answer by doukungfoo(195)

Question 102157: My biggest weakness in math is problems with cylinders so please help me out.
A cylindrical container including a top and bottom is made from no more than 108(pi) cm-squared of sheet metal. If the radius of the top is 3cm what is the maximum volume that the container can hold?
Click here to see answer by stanbon(75887)

Question 102269: I really need help understanding how to work this word problem out.
If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20
feet (floor), what is the maximum grazing area? If there are regions you can't find the area of,
provide as good an estimate as you can. Assume the goat is tied to a corner outside the barn,
cannot get in, and that the barn is not grazing area. (Remember, this will be based on parts of
circles, no other shapes...the goat's rope will only get shorter when he tries to go around the
barn...)
6. How much of the 50 foot circle can the goat reach without getting interrupted by the barn?
What is that area?

Click here to see answer by edjones(8007)

Question 102154: A tennis ball can in the shape of a cylinder with a flat top and bottom of the same radius as the tennis balls is designed so the space inside the can that is not occupied by the balls has a volume at most equal to the volume of one ball. What is the largest number of balls that the can will contain?
Click here to see answer by edjones(8007)

Question 102328: Sanjay earns $13 each week from his paper route. He earns 15cents for each daily paper and 35 cents for each Sunday paper that he delivers. He delivers twice as many daily papers as Sunday papers. How many of each type does he deliver each week?
***********************
At the beginning of a singles badminton tournament, 24 players are paired. At the end of each match, the loser is eliminated. How many matches must be played to determine the winner of the tournament?

Click here to see answer by doukungfoo(195)

Question 102502: Geometry. The volume of the box is represented by (x^2+5x+6)(x+5). Find the polynomial that represents the area of the bottom of the box.
There is a picture of the box with x+2 next to it. Please help. Thank you.
Click here to see answer by stanbon(75887)

Question 102690: The sum of the areas of the two squares is 325 square meters. The side of one increased by the side of the other is 25 meters. Find the length of a side each.
Click here to see answer by stanbon(75887)

Question 102687: There is a rectangle whose perimeter is 46 meters and whose area is 112 square meters. What are it's dimensions???
Help!!! How could I answer this??
Click here to see answer by edjones(8007)

Question 102724: Find the dimensions of a right triangle if the shortest side is 3 less than the middle one and 6 less than the hypotenuse.
Click here to see answer by lokvan(1)

Question 102728: Please help this is really hard!!
The answer is Length=16 meters;width=7 meters. How will I get it??
Problem: There is a rectangle whose perimeter is 18 centimeters. If its length is decreased by 5 centimeters and its width is increased by 12 centimeters, its area is doubled. Find its length and width.
Click here to see answer by bucky(2189)

Question 102718: The sum of the radii of two circles is equal to 17 centimeters. The sum of the areas of these two circles equals the area of a circle whose radius is 13 centimeters. Find the radii.
Hint: Area of a circle= pie*the square of the radius
this quastion makes my head hurt! pls. help!!
Click here to see answer by scott8148(6628)

Question 102765: Please help me understand this word problem. How could I solve this.
Find the dimensions of a right triangle if the shortest side is 3 less than the middle one and 6 less than the hypotenuse.

Click here to see answer by Nate(3500)

Question 102719: The hypotenuse of a right triangle is 20 centimeters. The sum of the other two sides is 28 centimeters. Find the length of two sides.
Click here to see answer by edjones(8007)

Question 97028: The weather during the Smedleys' vacation was strange.
It was cloudy on 13 different days, but it was never cloudy for an entire day.
Cloudy mornings were followed by clear afternoons.
Cloudy afternoons were preceded by clear mornings.
There were 11 clear mornings and 12 clear afternoons in all.
How long was the vacation?

Click here to see answer by edjones(8007)

Question 102854: Find the dimensions of a right triangle if the area is 120 square units and one leg is 4 more than twice the other leg.
Please help!!
Click here to see answer by edjones(8007)

Question 102860: PLEASE HELP ME WITH THIS!!
IF THE LENGTH OF THE SIDE OF A SQUARE IS INCREASED BY 6 UNITS, THE AREA IS MULTIPLIED BY 4. FIND THE ORIGINAL LENGTH.
Click here to see answer by bucky(2189)

Question 102689: There is a rectangle whose perimeter is 18 centimeters. If its length is decreased by 5 centimeters and it's width is increased by 12 centimeters, it's area is doubled. Find its length and width.
This Question is so hard to understand! Please help!
Click here to see answer by ankor@dixie-net.com(22740)

Question 102851: The area of two squares is 117 square centimeters. Their perimeter is 60. Find the length of a side of each square.
Please help me!! I need an explenation on how can I do it.
Click here to see answer by scott8148(6628)

Question 102862: The area of a triangle is 34 square meters. Find the base and height of the latter exceeds the former by 67 meters.
Please help..thanks..
Click here to see answer by scott8148(6628)

Question 102929: Pls help me with this. It's really hard!!
A farmer wants to make a rectangular garden of 7500 square meters, and she has 250 meters of fencing material. There is already a fence on one side. What dimensions should her garden have?
I really need some explanation here. Pls help me. thanks.

Click here to see answer by bucky(2189)

Question 102987: Tashia Baker is planning an expansion of a square flower garden in a city park. If each side of the original square is increased by 7 meters, the new total area of the garden will be 144 square meters. Find the length of the original garden.
x+7=144
x+7-7=144-7
x=137
Click here to see answer by scott8148(6628)

Question 103276: The width of the rectangle is 9 inches shorter than it's length and twice the radius of a circle. The difference in perimeters of the two shapes is 450 inches. Find the area of the circle.
Click here to see answer by alisttutors(8)

Question 103287: An airplane is 12,000 ft horizontally from an airport. The slanted distance to the airport is 13,000 ft. What is the planes altitude?
Click here to see answer by checkley75(3666)

Question 103364: The cost for a long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.
Click here to see answer by stanbon(75887)

Question 103359: The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.
Click here to see answer by checkley75(3666)

Question 103473: The length of a rectangle is 1 cm longer than its width. If the diagonal
of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Click here to see answer by checkley75(3666)

Question 103501: the supplement of an angle is equal to one-half of the angle. Find the number of degrees in each angle.
Click here to see answer by checkley75(3666)

Question 103809: If the sides of a square are decreased by 3 cm, the area is decreased by 81 cm2. What were the dimensions of the original square?
L - 3 x W - 3 = -81cm2
+3 +3 = +6
L x W = -75cm2
/2 = /2
L x W = -37.5
Can someone help me, I keep messing up the formula, please help
Click here to see answer by kev82(151)

Question 103834: The city is planning to build a small playground on arectangle section of a park. The perimeter of the playground is 80 feet. The two longer sides of the playground will each be 25 feet.
Now what I did was this..
80/5= 16 25/5 & 25/5=5+5=10*16=160/5=32ft square.
But I have a feeling is wrong like I'm missing something I used the L*W operation
also..
A rectangle yard is surrounded by a fence that is 26 feet long. The area of the yard is 36 ft square. Determine the dimension of the yard.
I did this...
26/2 & 36/2 which gave me
13 * 18 = 234/2= 117 square feet
again I used the L*W operation still I feel is wrong
Click here to see answer by stanbon(75887)

Question 103961: A 60 by 80-foot rectangular walk in a park is surrounds a flower bed. If the walk is of uniform width and its area is equal to the area of the flower bed, how wide is the walk.?
Click here to see answer by ankor@dixie-net.com(22740)

Question 103797: If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20 feet (floor), what is the maximum grazing area? If there are regions you can't find the area of, provide as good an estimate as you can. Assume the goat is tied to a corner outside the barn, cannot get in, and that the barn is not grazing area. (Remember, this will be based on parts of circles, no other shapes...the goat's rope will only get shorter when he tries to go around the barn...)
7. When the rope goes around the barn, what is the new radius? How much of a circle can it make without hitting the barn or overlapping area you've already found? What is that area?
8. When the rope goes around the barn the other way, what is the new radius? How much of a circle can it make without hitting the barn or overlapping area you've already found? What is that area?
9. The areas you found in 7 and 8 overlap each other. How much do they overlap? What *approximate* shape do they make? What is that area?
10. What is the total grazing area the goat can reach?

Click here to see answer by stanbon(75887)

Question 104124: The length of a rectangle is 3 cm more than 5 times its width. If the area of the rectangle is 76 cm2, find the dimensions of the rectangle to the nearest thousandth
I started with x^2+(x+3)^+5=76, but it does not make sense.
Click here to see answer by scott8148(6628)

Question 104122: Knowing that a person's height is 5'3, and the distance between the top of his/her head and the eyes is 3 inches, how tall must be the mirror to see the person's entire body, and how high up the wall it must be hanged?
I used this formula{h being the height, and f the distance between the eyes and the top of the head}:h-f1/2=mirror, but I do not think that it works. Would you please help me?

Click here to see answer by scott8148(6628)

Question 104282: You are going to make a box out of cardboard. The box needs to measure 10 cm by 5 cm by 5 cm; 10% of the final product will be wasted in the cutting process. How much cardboard do you need?

Click here to see answer by mathnard(10)

Question 104432: The width of hotographis 4 centimeters more that three tenths of the length. If the width is 13 cm, find the length.
Click here to see answer by stormy(4)

Question 104550: The length of a rectangle is 3 feet less than 3 times the width. If the perimeter is 146 feet, what is the length and the width of the rectangle?
Click here to see answer by checkley75(3666)

Question 104563: The length of a rectangle is 4 times the width. What are the dimensions if the perimeter is 80?
Click here to see answer by edjones(8007)

Question 104493: If a square is inscribed in a circle, how do you find the distance from the center to the side of square if only given radius? Thks
Click here to see answer by scott8148(6628)

Question 104901: I keep trying to do the formula for volume, but this question is causing me a major headache, please help..'The volume of a rectangular prism with height 7 inches can be given by V(x)= 63x + 42x^2, where x is its width. If the volume is 600 cubic inches, find the width to the nearest hundredth of an inch. Thank you for your help, if you can show me the steps better than this book, maybe I can figure them out better.
Click here to see answer by Fombitz(32388)

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