# A rectangle is 12cm longer than its wide. It's perimeter is 68m, how do you find it's length and width?

May 9, 2018

Length = 1706cm
Width = 1694cm

#### Explanation:

Perimeter = 68m = 6800cm

Length = x
Width = 12 + x

Formula for perimeter = $2 l + 2 w$

$6800 = 2 x + 2 \left(12 + x\right)$
$6800 = 2 x + 24 + 2 x$
$6800 - 24 = 4 x$

$\frac{6776}{4} = x$

$1694 = x$ --> length

Which means length is 1694 cm and width is 1694cm + 12cm = 1706cm