Question

If the width of a rectangle is 5 inches and its perimeter is 34 inches, find the length of the rectangle.The length of the rectangle is ___(Simplify your answer. Type an integer or a simplified fraction.)

Answer 1

The rule of the perimeter of the rectangle is

`P=2(L+W)`

L is the length

W is the width

Since the width of the rectangle is 5 inches

Since the perimeter of the rectangle is 34 inches, then

W = 5

P = 34

Substitute them in the rule above

`34=2(L+5)`

Divide both sides by 2

`\begin{gathered} (34)/(2)=(2(L+5))/(2) \\ 17=L+5 \end{gathered}`

Subtract 5 from each side

`\begin{gathered} 17-5=L+5-5 \\ 12=L \end{gathered}`

The length of the rectangle is 12 inches