Question

Each side of a square is increased by 3 inches. The perimeter of the new square is 40 inches more than twice the length of the side of the old square what is the length of the side of the new square

Answer 1

Length of side of new square is 17 inches

Explanation:

• Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x

Perimeter of a square = 4 × side

⇒ 4(x + 3) = 40 + 2x

⇒ 4x + 12 = 40 + 2x

⇒ 2x = 28

⇒ x = 14 inches

• Step 2: Find length of side of the new square

⇒ x + 3 = 17 inches