126k views
5 votes
A rectangular polygon consists of 6 squares placed side by side. If the perimeter of the rectangle is 140 inches, what is the area of the rectangle in square inches?

1 Answer

5 votes

Answer:

600 square inches

Explanation:

Let each square be x by x inches.

When you place 6 squares side by side, the total length is 6x.

The width is x.

perimeter = 2(length + width)

perimeter = 2(6x + x)

perimeter = 14x

14x = 140 inches

x = 10 inches

length of the rectangle: 6x = 6 × 10 inches = 60 inches

width of the rectangle: x = 10 inches

area = length × width

area = 60 inches × 10 inches

area = 600 square inches

User Toni Menzel
by
7.8k points