# The length of a rectangle is four times its width. If the perimeter of the rectangle is 70yd, how do you find its area?

Apr 6, 2018

$A = 196 y {d}^{2}$

#### Explanation:

The perimeter is defined as $p = 2 a + 2 b$

If $a = 4 b$,
$p e r i m e t e r = 8 b + 2 b = 10 b$
70=10b|:10
$7 y d = b$
$a = 7 \cdot 4 = 28 y d$

The area of a rectangle is defined as $A = a \cdot b$
$A = 7 \cdot 28 = 196 y {d}^{2}$