Question

The diagram shows a piece of fabric with a length of 45 inches. The perimeter of the fabric is 110 inches. What is the area in square inches of the fabric?

Answer 1

Let the width of the fabric be x inches.

The perimeter of the fabric is given by:

Perimeter = 2(length + width)

Substituting the given values:

110 = 2(45 + x)

Simplifying:

55 = 45 + x

x = 10

So the width of the fabric is 10 inches.

The area of the fabric is given by:

Area = length x width

Substituting the given values:

Area = 45 x 10

Area = 450 square inches

Therefore, the area of the fabric is 450 square inches.