A playground is 50-feet long by 30-feet wide. The length and width of the playground will each be increased by the same number of feet. The following expression represents the perimeter of the larger playground:

(x + 50) + (x + 30) + (x + 50) + (x + 30)

Which expression is equivalent to the expression for the perimeter of the larger playground?

A) (x + 50) + (x + 30)

B) 4x + 40

C) 4 (x + 40)

D) 4 (x + 160)

Question

Mathematics

Caleb Beltran

5 January, 05:56

A playground is 50-feet long by 30-feet wide. The length and width of the playground will each be increased by the same number of feet. The following expression represents the perimeter of the larger playground:

(x + 50) + (x + 30) + (x + 50) + (x + 30)

Which expression is equivalent to the expression for the perimeter of the larger playground?

A) (x + 50) + (x + 30)

B) 4x + 40

C) 4 (x + 40)

D) 4 (x + 160)

+5

Answers (1)

Know the Answer?

Quentin Sexton · Answer 1

The answer is C

You can ignore the parenthesis so you have

x + 50 + x + 30 + x + 50 + x + 30 (combine like terms)

4x+160 (factor out the 4)

4 (x+40)