Question

Two square-shaped fields are next to each other. The perimeter of each field is 36 feet. The two fields are joined together to form a single rectangular field. What is the perimeter of the rectangular field? (1 point) a 72 feet b 63 feet c 54 feet d 45 feet

Answer 1

Option (c) 54 feet

Explanation:

Perimeter of one square is 36 feet.

Side of square = 36 / 4 = 9 feet

When combined together one side of each square merged.

So, the perimeter of rectangular shape will be;

(9+9+9) + (9+9+9)

27 + 27

54 feet.

Answer 2

c) 54 feet

Explanation:

Let the side of the square be x

perimeter = 4x

⇒ 36 = 4x

⇒ x = 36/4 = 9 feet

Each side is 9 feet

When we join the two squares, it becomes a rectangle with

b = 9

l = 9 + 9 = 18

The perimeter of a rectangle is 2(l + b)

perimeter = 2(18 + 9)

= 2(27)

= 54 feet