# The perimeter of a rectangle is 24 ft. The length is is 2 ft. longer than the width. What is the width and length?

Sep 21, 2015

I found: $5 \text{ft" and 7 "ft}$

#### Explanation:

Have a look:

The length is $7$ and the width is $5$

#### Explanation:

We have $L$ =length and $W$= width

Hence the perimeter is $P = 2 \cdot \left(L + W\right)$

because $L = W + 2$ hence

$P = 2 \cdot \left(W + 2 + W\right) \implies 2 W + 2 = \frac{P}{2} \implies 2 W + 2 = 12 \implies W = 5$

and $L = 5 + 2 = 7$