Answer
$50=2(x) + 2(x+5)$;
The width is 10 inches and the length is 15 inches.
Work Step by Step
Let
x =width
Then
x+5 = length
The perimeter P of a rectangle is given is given by the formula
$P=2\text{(length)} + 2\text{(width)}$
Substitute the given to have:
$50 = 2(x) + 2(x+5)
\\50=2x+2x+10
\\50 = 4x+10
\\40 = 4x
\\\frac{40}{4}=x
10=x$
Thus,
$x+5=10+5=15$
Therefore the rectangle has:
width = 10 inches
length = 15 inches
