Question

The rectangle shown has a perimeter of 64 cm and the given area. Its length is 8 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answer 1

Answer:

• Length 28 cm, width 4 cm

Step-by-step explanation:

Given:

• P = 64 cm
• L = 5W + 8

Simplify equation for perimeter and solve for W:

• P = 2(L + W) = 2(5W + 8 + W) = 2(6W + 8) = 12W + 16
• 12W + 16 = 64
• 12W = 48
• W = 4 cm

Find L:

• L = 5*4 + 8 = 28 cm