Chapter 11.1, Problem 11WE

To determine

To Find: The area and height of rectangle.

Answer to Problem 11WE

  $h=5cm$ , $A=80c{m}^2$

Explanation of Solution

Given: $b=16cm,P=42cm$

Given: $b=16cm,P=42cm$

Perimeter of rectangle

  $\begin{array}{l}P=2(b+h)\\ 42=2(16+h)\\ 16+h=\frac{42}{2}\\ 16+h=21\\ h=21-16\\ h=5cm\end{array}$

The height of rectangle is $h=5cm$

Now,

Area of rectangle

  $\begin{array}{l}A=bh\\ A=\left(16\right)\left(5\right)\\ A=80c{m}^2\end{array}$

Hence, $h=5cm$ , $A=80c{m}^2$