Question

If a rectangle has a perimeter of 70, a length of x and a width of x-9, find the value of the length of the rectangle040 3113O 22

Answer 1

The formula for the perimeter of rectangle is,

`P=2(l+w)`

Substitute 70 for P, x for l and (x - 9) for w in the formula to determine the value of x.

`\begin{gathered} 70=2(x+x-9) \\ 35=2x-9 \\ 2x=35+9 \\ x=(44)/(2) \\ =22 \end{gathered}`

So value of x is 22.