Question

the length of a rectangular piece of land is 5ft more than two times it’s width. the perimeter is 34ft. find it’s dimensions

Answer 1

Answer: Length = 11 feet

Width = 6 feet

Step-by-step explanation:

A rectangle is a four sided shape that has 2 equal lengths,L and 2 equal widths,W

The perimeter of the rectangular piece of land is the total distance around it. It is expressed as

Perimeter = 2L + 2W = 2(L+W)

The perimeter is given as 34ft. It means that

34 = 2(L+W) - - - - - - - -1

The length of the rectangular piece of land is 5ft more than two times its width. It means that

L = W + 5

Substituting L = W + 5 into equation 1, it becomes

34 = 2(W + 5 +W) = 2(2W + 5)

2W + 5 = 34/2 = 17

2W = 17 - 5 = 12

W = 12/2 = 6 feet

L = W + 5 = 6+5

L = 11 feet