Questions on Word Problems: Geometry answered by real tutors!

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Question 57121: A farmer has 4000 feet of fencing available to enclose a rectangular area and divide it into four plots. One side will extend beyond a barn that is 60 feet long. Fencing will not be needed along the barn. Let x represent the length of the side of the rectangle. Express the area A of the rectangle as a function of x.
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Question 57295: To Whom Ever Can Assist, Thank you....
In a right triangle, the sides are related by pythagorean theorem, c^ =a^ + b^, where "c" is the hypotenuse. Find the hypotenuse when the other two sides' measurements are 6ft. and 8ft.
The hypotenuse is the side opposite the 90 degree angle.... but still confused.

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Question 57295: To Whom Ever Can Assist, Thank you....
In a right triangle, the sides are related by pythagorean theorem, c^ =a^ + b^, where "c" is the hypotenuse. Find the hypotenuse when the other two sides' measurements are 6ft. and 8ft.
The hypotenuse is the side opposite the 90 degree angle.... but still confused.

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Question 57348: There is a circle inside a triangle the bottom of the triangle is 240 kilometers, one side is 330 kilometers, and the other side is 270 kilometers. The circle is the largest possible circle that can fit inside the triangle. What is the area in square kilometers, rounding to the nearest hundred.
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Question 57381: the volume of a coube is given by V = s cubed, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm cubed. Please show your work
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Question 57381: the volume of a coube is given by V = s cubed, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm cubed. Please show your work
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Question 57559: The length of a rectangle is 8 inches more than twice its width. If the perimeter of the rectangle is 64 inches, what is the width of the rectangle
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Question 57559: The length of a rectangle is 8 inches more than twice its width. If the perimeter of the rectangle is 64 inches, what is the width of the rectangle
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Question 57499: A rectangular sheet of cardboard has a square of the same size cut from each of its corners. Then the sides are folded upward to make a topless box. The width of the uncut cardboard sheet is 3/4s of its length, and a total of 64 square inches of cardboard is cut from the four corners. What is the volume of the box if the area of its base is 1,120 square inches? What are the demensions of the uncut cardboard sheet?
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Question 57641This question is from textbook Elementary and Intermediate Algebra
: To Whomever can assist, Thank you!
Suppose that a square and an equilateral triangle have the same perimeter. Each side of the equilateral triangle is 6 centimeters longer than each side of the square. Find the length of each side of the square.
This question is from textbook Elementary and Intermediate Algebra

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Question 57684: The floor of the recreation room in a house is a retangle. The sum of its length, width, and height is 42 ft. The sum of its length and height is double its width. The area of its floor is 280 square feet. What are the dimensions of the recreation room?
PLEASE HELP!

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Question 57758: Area of a painting. A rectangular painting with the width of x centimeters has an area of x^2 + 50x square centimeters. Find the binominal that represents the length
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Question 57691: Find the length of the diagonal from the upper right corner of a room to its lower left corner. The height of the room is half its length. The area of the floor is 192 square feet and the length of one of the floor's diagonals is 20 feet.
PLEASE HELP MEE

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Question 57941This question is from textbook Elementary and Intermediate Algebra
: To Whomever can assist, Thank You!
If the total surface area of a right circular cylinder is 104PIE square meters and a radius of the base is 4 meters long, find the height of the cylinder.
This question is from textbook Elementary and Intermediate Algebra

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Question 58055: A piece of wire 10m long is cut into two pieces one piece is bent into a square and the other is bent into a circle. Express the total area A of the square and circle as a function of x, th elength of the sides of the square. how should the wire be cut so that the total area enclosed is a minimum? what is the total enclosed area?
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Question 58191: A small city park consists of a rectangular lawn surrounded on all sides by a 330m sq. border of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide.
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Question 58191: A small city park consists of a rectangular lawn surrounded on all sides by a 330m sq. border of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide.
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Question 58100: The width of a rectangle is 3/4 of its length. If the perimeter of the rectangle is 140 feet, what are the dimensions of the rectangle?

Thank you all for your time!

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Question 58324: The base of a ladder is 3 feet away from the wall. The top of the ladder is 14 feet from the floor. Find the length of the ladder to the nearest thousandth.
Thanks~
ac

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Question 58324: The base of a ladder is 3 feet away from the wall. The top of the ladder is 14 feet from the floor. Find the length of the ladder to the nearest thousandth.
Thanks~
ac

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Question 58255: A semicircle is placed on one side of a square so that its diameter coincides with a side of the square. Find the side length of the square if the total area of the square plus the semicircle is 200 square inches.
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Question 58470: an airplane over the pacific sights an atoll at a 5 degree angle of depression. If the plane is 450 meters above water, how many kilometers is it from a point 450 meters above the atoll.
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Question 58533: A rectangle is twice as long as it is wide. If the length and width are each decreased by 4cm, the area is reduced by224cm squared. Find the dimensions of the original rectangle.
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Question 58533: A rectangle is twice as long as it is wide. If the length and width are each decreased by 4cm, the area is reduced by224cm squared. Find the dimensions of the original rectangle.
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Question 58530: A rectangle is twice as long as it is wide. if its length is increased by 6in and its width is incresed by 2in, its area is increased by 32in squared. find the original dimensions.
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Question 58768This question is from textbook Elementary and Intermediate Algebra
: To Whomever can assist... Thank you!
84)
If one-fourth of the complement of an angle plus one-fifth of the supplement of the angle equals 36 degrees, find the measure of the angle.
This question is from textbook Elementary and Intermediate Algebra

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Question 58813This question is from textbook Elementary and Intermediate Algegra
: Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 15.96 centimeters greater than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for Pi.)This question is from textbook Elementary and Intermediate Algegra

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Question 58915: Locating the receiver for a radio telescope.
The U.S. Naval research Laboratory designed a giant radio telescope weighting 3450 tons. Its parabolic dish has a diameter of 300 feet and a depth of 44 feet
(a) find an equation in the form y=ax^2 that describes a cross section of this dish.
(b) if the receiver is located at the focus, how far should it be from the dish(vertex)?

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Question 59070: the distance between (2,3) and (6,0) is?
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Question 59072: find the surface area in square centimeters of a rectangular solid 8 cm long, 5 cm wide, and 3 cm high?
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Question 59120: The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.
a. 16
b. 7
c. 8
d. 21
e. 24

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Question 59256: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
I wrote for following expressions:
a =
b = a+6
c = 3(a+b)-4
I am unable to solve for the three angles. Your help is appreaciated.
Thank you.

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Question 59256: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
I wrote for following expressions:
a =
b = a+6
c = 3(a+b)-4
I am unable to solve for the three angles. Your help is appreaciated.
Thank you.

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Question 59395: I am sooo stuck on this problem! I have attacked it from so many ways, and am getting more and more confused! PLEASE HELP! THANK YOU in advance!
A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400 square ft, what is the width of the path?
Step by step help would be so wonderful! Thanks again!
ac

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Question 59545: Beth has 3,000 feet of fencing available to enclose a rectangular field. One side of the field lies along a river, so only three sides require fencing.
(a) Express the area A of the rectangle as a function of x, where x is the length of the side parallel to the river.
(b) Graph A = A(x) using a graphing utility. For what value of x is the area largest?
A wire of length x is bent into the shape of a circle.
(a) Express the circumberence of the circle as a function of x.
(b) Express the area of the circle as a function of x.

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Question 59345: 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.
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Question 59609: The sum of the perimeters of two squares is 40 inches. the sum of their areas is 58 square inches. What are the dimensions of the squares?
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Question 59866This question is from textbook
: A cylinder has a radius of 5 in. If the volume of the cylinder is 250 in.^3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = r^2h.]This question is from textbook

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Question 60114: All three sides of the triangle have equal length. One side is 9x - 4 and another is 2(3x + 4). What is the perimeter?
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Question 60114: All three sides of the triangle have equal length. One side is 9x - 4 and another is 2(3x + 4). What is the perimeter?
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Question 60123This question is from textbook Elementry and Intermediate Algebra
: Find the dimensions of a rectangle whose length is 40 inches more than its width and whose perimeter is 300 inches. This question is from textbook Elementry and Intermediate Algebra

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Question 60126This question is from textbook Elementry and Intermediate Algebra
: The monthly profit P (in dollars) that Jim makes on the sale of x mobile homes is determined by the formula P = x2 + 5x – 50. Find the values of x for which Jim makes profit.
This question is from textbook Elementry and Intermediate Algebra

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Question 60127This question is from textbook Elementry and Intermediate Algebra
: A cubic shipping container had a volume of v^3 cubic meters. The height of the container was decreased by a whole number of meters and the width was increased by a whole number of meters so that the volume of the container is now v^3 + 2v^2 – 3v. Find out the following:
a. By how many meters the height was decreased?
b. By how many meters the width was increased?

This question is from textbook Elementry and Intermediate Algebra

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Question 60124This question is from textbook Elementry and Intermediate Algebra
: If the width of a rectangle is 1 inch less than its length and the diagonal is 1 inch longer than its length, find the length and the width. This question is from textbook Elementry and Intermediate Algebra

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Question 60317: The area of a rectangle is 104. Find the length and width if the length is 5 times greater than its width.
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