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The length of the rectangle is 50 feet and the width of the rectangle is 25 feet. Then the area of a rectangle is 1250 square feet.
What is a rectangle?
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
You have 100 ft of fence to make a rectangle play area alongside the wall of your house.
The wall of the house bounds 1 side.
Let the length of the rectangle be x.
Let the width of the rectangle be y.
Then we know that the perimeter of the rectangle will be given as
Perimeter = 2x + 2y
But the wall of the house bounds 1 side. Then the formula will be
x + 2y = Perimeter
x + 2y = 100
Let x be the 50 ft then y will be
50 + 2y = 100
2y = 50
y = 25
The length of the rectangle is 50 feet and the width of the rectangle is 25 feet.
Then the area of the rectangle will be
Area = 25 * 50
Area = 1250
More about the rectangle link is given below.
https://brainly.com/question/10046743