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Serggg [28]
3 years ago
13

The perimeter of the patio is 64 feet. The width of the patio is (x+2) feet and the length of the patio is (x+6) feet. What are

the dimensions of the patio?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
5 0

The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:

P = 2<em>w</em> + 2<em>l</em>

64 = 2(x+2) + 2(x+6) ⇒ Distributive property

⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms

⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides

⇒ 48 = 4x ⇒ Divide both sides by 4

⇒ x = 12

Then, we use x = 12 and substitute it in to find the length and width

<em>Width</em> = (x+2) = (12+2) = 14

<em>Length</em> = (x+6) = (12+6) = 18

The dimensions of the patio is <u>14 by 18</u>

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