Use the perimeter formula P = 21 + 2w to find the length, 1, of a rectangular lot if the width, w, is55 feet and the perimeter,
1 answer:
Given:
The width of a rectangle = W = 55 feet
And the perimeter of the rectangle = P = 270 feet
We will find the length (L) of the rectangle using the perimeter formula:
So, substitute with P and W, then solve the equation to find L
The steps will be as follows:
So, the answer will be The length L = 80 feet
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<h2>Answer:</h2>
The ratio of the area of region R to the area of region S is:
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:
( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:
i.e.
Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:
Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.
Now, we know that the area of a square is given by:
and
Hence, we get:
and
i.e.
Hence,
Ratio of the area of region R to the area of region S is: