Questions on Geometry: Rectangles answered by real tutors!

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Question 196718: In the accompanying figure, ABCD is a rectangle, E is a point on AB, DE=13, AE=5and DC=20.
a. Find AD.
b. Find the perimeter of trapezoid EBCD.
c. Find the area of triangle AED.
d. Find the area of rectangle ABCD.
e. Find the area of trapezoid EBCD.

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Question 196858: The length and width of a rectangle are represented by (x+6) and (x-4). Express the area of the rectangle as a trinomial.
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Question 196923: The length and width of a rectangle are epresented by (x+6) and (x-4). Express the area of the rectangle as a trinomial.
Area = length x width
= (x+6).(x-4)
= x^2 + 2x -24 is the answer.


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Question 197471: if the length of a rectangle is 6 times the width and the area of the rectangle is 150 then what is the perimeter of the rectangle
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Question 195594: A)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.
B)What is the length of the diagonal of a rectangular bill board with sides of lengths 5 ft and 12 ft.

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Question 197517: The perimeter of a square is 56 feet. The side length is 4x feet. What is the value of x?
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Question 197559: My theoretical question for my math class is :
Determine the area and the volume of a pool that has a depth of 6ft and the shape is a trapezoid with the dimensions of 22ft.,10ft. by 18ft.
Determine the cost of filling the pool with water if the water costs $5.28 per cubic foot.
I am really lost because I don't know how to fit the 6ft. depth into my formula.
Thanks,
Alexa

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Question 197594: a rectangle has perimeter=26 find diagonal
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Question 197842: The perimeter of a rectangle is 28 inches. If the length is 1 inch less than twice the width, what are the dimensions?
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Question 197750: 2. Find the length and width of a rectangular lot with a perimeter of 70 meters if the length is 5 meters more than the width.
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Question 198042: how would I find the area of a square with a diagonal of 10 square root of 2?
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Question 198013: The width of a rectangle is represented by 2a and the length by 3a-2. Represent the perimeter of this rectangle in terms of a.
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Question 198554: If the length of a rectangle is 3 feet longer than the width and the diagonal is 15 feet, then what are the length and the width?
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Question 199145: If a rectangle has sides of 10 and 6, find the area if the longest side is decreased by 50% and the short side is increased by 50%.
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Question 199484: Problems like these always make sure I come back to this website for help =( ; Find the dimension of a rectangle “a” with the greatest area whose perimeter is 30 ft.
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Question 199556: how do i find the length and width of a rectangle if the perimeter is 46 and the area is 42?
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Question 199556: how do i find the length and width of a rectangle if the perimeter is 46 and the area is 42?
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Question 199609: I need help with this equation or question please,

thank you

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Question 199614: I need help with this question and sorry if it is kind of confusing since I cant get a picture (there is a equilateral triangle ABC i think i might be wrong but the two legs or sides are both 16 and i am supposed find the range that gives all possible values for b, and another one but same is that if the area of triangle ABC is 114 square units and h = 12, then calculate the value of b.)
thanks I am really sorry that this is really long,
Craig

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Question 199990: Can you show me how to set up this problem? What is the perimeter of a rectangle, given that the length is x yards and the width is 10 yards shorter? The perimeter is not given and I don't know how to solve this equation.
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Question 200034: Let b equal the base and h equal the height of the rectangle. Write an algebraic expression that shows the relationship between the base and the height. (I'm thinking: b=p-2h/2???)
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Question 200206: If a rectangle perimeter of 36ft and its 4ft wide what is its area?
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Question 200303: The length of a rectangle is 3m more than twice its width, and the area of the rectangle is 77 square meters. Find the dimensions of the rectangle.
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Question 200302: The length of a rectangle is more than twice its width, and the area of the rectangle is 77 square meters. Find the dimensions of the rectangle.
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Question 200419: The distance around a rectangular path is 42 m. The length of the path is 3 m less than twice the width. Find the length and width of the path.
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Question 200752: A rectangle is 4 meters longer than it is wide. The area of the rectangle is 252 square meters. Find the length and width of the rectangle.
length = ________ m width = ________ m

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Question 200944: solution for the area of rectangle with sides b yards and b - 6 yards
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Question 201130: A rectangular swimming pool is 2 m longer than it is wide. If the width is decreased by 3 m, and the length is increased by 4 m, the area remains the same as the original area, Find the original dimensions of the pool.
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Question 201230: A rectangular solar panel is to be 8 meters longer than it is wide. If the perimeter is to be 96 meters, find its width.
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Question 201240: the length of a rectangle is 5 feet less than twice the width. let w represent the width of the rectangle. find a polynomial function, p(w), that represents the perimeter.
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Question 201289: The ratio of the areas of two squares is 6:1. find the corresponding ratio of the lengths of the diagonals of the two squares ?
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Question 201289: The ratio of the areas of two squares is 6:1. find the corresponding ratio of the lengths of the diagonals of the two squares ?
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Question 201455: Area of a parallelogram. Find a trinomial A(x) that represents tha area of a parallelogram whose base is 3x+2 meters and hose height is 2x+3 meters. Find A(3).
This is what I came up with
3x+2 (2x+3)
6x2 +12x+6

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Question 201771: i just would like to know how to be able to get the steps to this question
area of a rectangle rug: A=LW
the area of this rug is 80 sq units.find its length and width
i would just like to know the steps only please and thank you

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Question 203191: A rectangle has integer side lengths. One pair of opposite sides is increased by 30% and the other pair of sides is decreased by 20%. The new side lengths are also integers. What is the smallest possible area, in square units, of the new
rectangle?

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Question 203193: the diagonals of the following rectangle have which coordinates for their point of intersection?
-2,7 1,9 5,3 2,1
a. 1,5
b.1.5,5
c.1.5,3
d.0.5,4

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Question 203673: the length of a rectangle is 5 more than three times its width. represent the perimeter for this rectangle.
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Question 203672: The perimeter of a rectangle is 50, if the length is 5 more than three times it's width, what is the width?
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Question 203669: The perimeter of a rectangle is 50, if the lenght is 5 more than three times it's width, what is the width?
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Question 203768: You have a garden with a fence around it and it is rectangular in shape
The perimeter is 500 feet in length and the width is 80% of the length
Find L and W.

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Question 203785: You have a garden with a fence around it and it is rectangular in shape
The perimeter is 500 feet in length and the width is 80% of the length
Find L and W.
Could you show me step by step so I can gain an understanding on how to solve these types of problems.

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Question 203913: If the perimeter of a rectangle is 50 feet, and one of the sides is 10 feet, find the length of the other side.

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Question 204197: A rectangular garden is 15 ft longer than it is wide. Its area is 7600 ft^2. What are its dimensions?
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Question 204201: Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50.
a) Set up an equation for the perimeter involving only L, the length of the rectangle.
b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.

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Question 204199: The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 184 feet, what is the area of the garden in square feet?
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