Question

12.
The perimeter of a garden is 82 feet. The length
is 5 more than twice the width. What is the width
of the garden?

A.29feet
C.24 feet
B. 25 feet and 2/3
D. 12 feet

Answer 1

Answer:

D. 12 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

Where L is length and W is the width.

Given

perimeter = 82 feet

Length is 5 more than 2w

That’s L = 5 + 2w

Now substitute 5 + 2w for L in the formula above

We have

82 = 2 ( 5 + 2w + w)

Simplify the bracket

82 = 2(5 + 3w)

Distribute 2 into (5 + 3w)

82 = 2 x 5 + 2 x 3w

82 = 10 + 6w

Subtract 10 from both sides

82 - 10 = 10 - 10 + 6w

72 = 6w

Divide both sides by 6

72/6 = 6w/6

12 = w

W = 12 feet