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?
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.