# The perimeter of a rectangle is 96 ft. How do you find the dimensions of the rectangle if the ratio of the length to the width is 7: 5?

Jan 21, 2016

The dimensions are:

length =color(blue)( 28 feet
the width= color(blue)( 20 feet

#### Explanation:

The ratio of dimensions (length :width) is color(blue)(7:5

Let us denote the dimensions as:
length (l) =color(blue)(7x

width (w)=color(blue)(5x

The perimeter of the rectangle is calculated as :
Perimeter $= 2 \times \left(l + w\right)$

$= 2 \times \left(7 x + 5 x\right)$

$= 2 \times \left(12 x\right)$

$= 24 x$

As per data provided the perimeter $= 96 f e e t$

So, $24 x = 96$
$x = 4 f e e t$

So:
the length = 7x = 7 xx 4 =color(blue)( 28 feet
the width= 5x = 5 xx 4 =color(blue)( 20 feet