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Liula [17]
3 years ago
8

The perimeter of a rectangle is 52 feet. The length is 2 more than twice the width. What is the length of the rectangle?

Mathematics
2 answers:
ollegr [7]3 years ago
7 0

Answer:

The length would be 18ft the width would be 8ft

Step-by-step explanation:

SashulF [63]3 years ago
3 0

Answer:  The Length of the rectangle is 18 feet.

The width is 8 feet

Step-by-step explanation:  Perimeter is 2w + 2L

Length here is <u>2w + 2</u>   Substitute this value for L in the equation.

P = 2w + 2L

52 = 2w + 2(2w + 2)  distribute and add

52 = 2w + 4w + 4

52 = 6w + 4    Subtract 4 from both sides, Then divide both sides by 6 to solve  for w

48 = 6w

8 = w  <u>The width is 8 ft</u>

Substitute into the original expression for Length

Length here is <u>2w + 2</u> :  2(8) + 2   16 + 2 = 18

<u>The Length is 18 feet.</u>

<u>Check:</u>   in the original equation P = 2w + 2L

52 = 2(8) + 2(18)

52 = 16 + 36  TRUE!

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