Question

A rectangle's width is twice as long as its length. if the perimeter is 36 in., find its length

Answer 1

P = 2(L + W)
P = 36
W = 2L

36 = 2(L + 2L)
36 = 2(3L)
36 = 6L
36/6 = L
6 = L <== length is 6 inches

W = 2L
W = 2(6)
W = 12 <=== width is 12 inches

Answer 2

Answer: The length of the rectangle is 6 in.

Step-by-step explanation: Given that a rectangle's width is twice as long as its length and the perimeter is 36 in.

We are to find the length of the rectangle.

Let l represents the length of the rectangle.

Then, the width of the rectangle i given by

w = 2l.

According to the given information, we have

`\textup{perimeter of the rectangle}=36\\\\\Rightarrow 2(l+w)=36\\\\\Rightarrow 2(l+2l)=36\\\\\Rightarrow 2*3l=36\\\\\Rightarrow 6l=36\\\\\Rightarrow l=(36)/(6)\\\\\Rightarrow l=6.`

Thus, the length of the rectangle is 6 in.