Question

Write an equation that represents the perimeter of the rectangle. The length of a rectangle is 4 feet less than twice its width, while the perimeter is 15.

Answer 1

• Equation: 7.5 = ((2b-4) + b)
• length = 3.6667 ft
• width = 3.8333 ft

Explanation:

perimeter = 2(length+width)

then:

15 = 2(a+b)

a = 2b - 4

a = length

b = width

solve:

15/2 = (a+b)

7.5 = ((2b-4) + b) ⇒ Equation that represents the perimeter of the

rectangle)

7.5 = 3b -4

7.5+4 = 3b

11.5 = 3b

b = 11.5/3

b = 3.8333

a = 2b - 4

a = 2*3.8333 - 4

a = 3.6667

Check:

15 = 2(3.8333 + 3.6667)

15 = 2*7.5