# The perimeter of rectangle ABCD is 56 , and if the length of AD = 16, what is the area of ABCD?

Sep 19, 2016

Area of the Rectangle$= 192$

#### Explanation:

Perimeter of the rectangle $= 2 \left(a + b\right)$ where $a = 16$ and b=?

or

Perimeter of the rectangle $56 = 2 \left(16 + b\right)$

or

$16 + b = \frac{56}{2}$

or

$16 + b = 28$

or

$b = 28 - 16$

or

$b = 12$

Therefore Area of the Rectangle$= a b = 16 \times 12 = 192$