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. What is the largest size possible (in square ft) for the play area

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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.

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