Question

The perimeter of a patio is 64 feet. The width of the patio is 12 Feet and the length of the patio is (x+6) feet. What is the length of patio?

Answer 1

The length is 20 and the width is 12.

Explanation:

We first need to find the formula of perimeter:

P = 2l + 2w

Since we already know the width, we can insert the value and use the formula:

Width = 12 ----- 2w = 12 x 2 = 24

P = 2l + 24

Now for the length: The length would be found be by this equation (x+6)

64 = 2 * (x + 6) + 24

Subtract the width from the patio size to help find the length:

64 - 24 = 40

40 = 2 * (x + 6)

A little trick: If you ever have a problem like this, divide the length or width (not in this equation) by the main number, meaning:

40/2 = 20

20 = x + 6

Its 14, but you need to plug it in the equation.

14 + 6 = 20

Meaning your width is 12 feet and your length is 20 feet

Answer 2

The length is x + 6 = 14 + 6 = 20

L = 20

Explanation:

P = 2*(L + W)

2*(L + W) = 64 Divide both sides by 2

2*(L + W)/2 = 64/2 Do the division

L + W = 32

w = 12

L = x + 6

x + 6 + 12 = 32 Combine the left side

x + 18 = 32 Subtract 18

x+18-18=32-18

x = 14