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?

Question

asked Feb 20, 2024 126k views

1 Answer

Toni Menzel · Answer 1 · 2024-02-25T06:34:40+0000

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