Question

PART 1

The width of a rectangle is 56 its length, l.

Which expression represents the perimeter of the rectangle?

A.5/6L+L

B.4×5/6L

C.2(L+5/6L)

D.4(L+5/6L)

Part 2

The perimeter of the rectangle from Part 1 is 44 inches.

What is the area of the rectangle, in square inches?

__________________square inches

Answer 1

Part 1:
perimeter of a rectangle = 2(L + W)
W = 5/6 L
perimeter of a rectangle = 2( L + 5/6L)

Part 2:
perimeter of the rectangle is 44 inches
perimeter of a rectangle = 2(L+5/6L)
44 = 2(L+5/6L)
44 = 2L + 10/6 L
44 = 3 2/3 L
L = 12

W = 5/6 L
W = 5/6 x 12
W = 10

Area = L x W
Area = 12 x 10
Area = 120 square inches