Question

the perimeter of the rectangle is 28 ft (2+x) ft 3 ft what is the value of x?

Answer 1

Perimeter = 28 ft

$\begin{gathered} \text{Perimeter of a rectangle = }2(L+W) \\ L=(2+x)ft \\ W=3ft \\ \text{perimeter = 2L}+2W \\ \text{perimeter = 2(2+x)}+2(3) \\ \text{perimeter = 4+2x+6} \\ 28=10+2x \\ 28-10=2x \\ 2x=18 \\ \text{divide both sides by 2} \\ \frac{2x}{2}=\frac{18}{2} \\ x=9 \end{gathered}$