Questions on Word Problems: Geometry answered by real tutors!

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Question 98685: A Gardener has 60 feet of fencing to enclose a rectangular garden and the two foot wide border surrounding it.
If The length of the garden is twice its width, what are its dimensions?
Click here to see answer by checkley71(8405)

Question 98772: FIND ALL WHOLE NUMBER PAIRS OF LENGTH AND WIDTH VALUES THAT GIVE AN AREA OF 24 SQUARE METERS?
Click here to see answer by scott8148(3385)

Question 98824: The length of a a rectangle is twice as long as the width. The perimeter of the rectangle is 72 in. What are the length and width of this rectangle.
Click here to see answer by doukungfoo(195)

Question 99147: Geometry. 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 Nate(3495)

Question 99221: suppose you are sewing a braid border on the edges of a quilt. the quilt is 20in. longer than it is wide. you need 292in. of braid to cover the edges of the quilt. what are the dimensions of the quilt.

Click here to see answer by checkley71(8405)

Question 99453: Find the measure of an angle whose supplement measures five times its measure. I am at a loss for how to set up the equation.
I think x should = the measure
the supplement should be 180-x
and the complement is 90-x.
any help is appreciated.
Click here to see answer by doukungfoo(195)

Question 99471: A cylinder with the height of 15 has a total surface solution area that is twice the area of a circle whose radius is 6 more than the radius of the cylinder. What is the radius of the cylinder? May you help me with this> I am very lost.
Click here to see answer by scott8148(3385)

Question 99529: I think I have this problem, but would like someone to make sure.
the volume of a rectangular box is 105 cubic inches. if the top is 6 inches by 3.5 inches, what is the height? I must show algebraic steps to get the answer.
I have 6 x 3.5 = 21 So the top is 21 inches
105 - 21 = 84
84 (divided by) 3 = 28
so the height is 28 inches.

Does that look right?????
Thanks, Judi
Click here to see answer by jim_thompson5910(13794)

Question 99612: The length of one of the equal legs of an isosceles triangle is 8cm less than 4 times the lenghth of the base. If the perimeter is 29cm, find the lenghth of the equal legs.
Click here to see answer by stanbon(26297)

Question 99614: The length of a rectangular playing field is 5 feet less than twice its width. If the perimeter of the playing field is 230 feet, find the length and width of the field.
Click here to see answer by Adam(63)

Question 99681: What is the legnth of the base (b) of any triangle that has an area "A" and a height "h" ? (Note: A = 1/2 bh)

Click here to see answer by checkley71(8405)

Question 99702: The area of a rectangle is 54 cm2. If the length of the rectangle is 3 more than its width, find the length and width of the rectangle.
Click here to see answer by edjones(3299)

Question 99803: A triangle has an area of 72in squared. It has a height of 9 inches, what is the base?
Click here to see answer by doukungfoo(195)

Question 99849: The measure of the supplement of an angle is 20 degrees more than three times the measure of the original angle. Find the measures of the angles.
Click here to see answer by stanbon(26297)

Question 99959: A square piece of cardboard is formed into an open box (not top) by removing a 1.5 inch square from each corner and folding up the sides. If the volume of the box is 37.5 cubic inches, what was the size of the cardboard?
Click here to see answer by fastblue(13)

Question 100056: a rectangular box is to be used to store materials. The inside of the box is 12.0 in. long, 9.50 in. wide, and 8.75 in. deep. What is the area of sheet lead that must be used to line the inside of the box?
Click here to see answer by checkley71(8405)

Question 100616: 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???

Thanks!!
Click here to see answer by checkley71(8405)

Question 100653: How long must a guywire be to run from the top of an 18-ft pole to a point on level ground 16 ft away from the base of the pole?
Click here to see answer by checkley71(8405)

Question 100788: Find the number of degrees in each angle of a traingle if the number of degrees in the first angle is two less than four times the number of degrees in the second angle and the number of degrees in the third angle is 5 less than 1/2 the number of degrees in the second.
Click here to see answer by doukungfoo(195)

Question 100964: The hypotenuse of a right angle triangle is 3 meters longer than twice the length of one of the legs. The measure of the other leg is 12 meters. Find the measure of the hypotenuse of the triangle.
Click here to see answer by edjones(3299)

Question 100985: the riches are ording topsoil for teir new lawn. The topsoil will be spread evenly over the yard before the grass is planted. the yard is 81 feet wide and 111 feet long. the topsoil will be spread 2 inches deep. how many cubic yards of topsoil are needed.

Click here to see answer by doukungfoo(195)

Question 101108: the length of a rectangle is 5m less than twice its width. If its width is increased by 5m and its length by 2m, the new area would be 81 sq m more than the original. Find the dimensions of the rectangle.
Click here to see answer by edjones(3299)

Question 101410: If M<1 is four times its supplement, find M<1 and its supplement.
I've tried to set the equation up like this:
m<1=4x-180 but i really don't know what i am doing! thank you soo much
Click here to see answer by stanbon(26297)

Question 101564: Solve.
The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 140 feet, what are the room's dimensions?

Click here to see answer by doukungfoo(195)

Question 97657This question is from textbook Beginning Algebra

: I am very confused on this problem. Could you please help me?
Geometry. Refer to the triangle in the figure. Find an expression that represtns its perimeter. (I am not sure how to show the triangle) The sides are 3/4x 1/x^2 5/x^2 Hopefully you can help me because I am very confused on this problem. Thank you for your help. This question is from textbook Beginning Algebra

Click here to see answer by edjones(3299)

Question 101752: A rectangle has a diagonal of 15 cm. The width of the rectangle is 3 cm less than its lenght. Find the area of the rectangle.
Click here to see answer by doukungfoo(195)

Question 101786: The width and length of a rectangle are consecutive odd intergers. If the width is w, fird the perimeter, in simplest form, in terms of w.
for some reason I don't think that there is an answer to this problem. Am i correct or is there an answer?
Click here to see answer by Fombitz(2113)

Question 101764: The Volume of spheres are proportional to the cubes of their radii. Two spheres of the same material weigh 3.6 kg and 2.7 kg and the radius of the smaller one is 2 cm. If the two were melted down and formed into a single sphere,what would be the radius..?
Click here to see answer by Fombitz(2113)

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(2113)

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(3299)

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(6693)

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(6693)

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(26297)

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(3299)

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(3299)

Question 102328This question is from textbook Prentice Hall Mathematics
: 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?
This question is from textbook Prentice Hall Mathematics

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(26297)

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(26297)

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(3299)

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(1732)

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