Question

when keisha installed a fence along the 200 feet perimeter of her rectangular back yard she left and opening for GATE in diagram below she used X to represent the length of the gate

Answer 1

Answer:

10 feet

Step-by-step explanation:

Dimensions are:

Length = 60 + x ft.

Breadth = 30 ft.

Perimeter = 200 feet.

⇒ 2(l + b) = 200

⇒ 2(60 + x + 30) = 200

⇒ 2(90 + x) = 200

⇒ 180 + 2x = 200

⇒ 2x = 200 - 180

⇒ 2x = 20

⇒ x = 10.

Therefore, length of the gate = 10 feet.

Hope it helps!