Chapter 11, Problem 11RP

To determine

To calculate:Thearea of a square ABCD whose semi perimeter is $18m$ .

Answer to Problem 11RP

The area of square ABCDis $81m^2$ .

Explanation of Solution

Given information:

Semi perimeter of square ABCDis $18m$

Formula used:

Area of square: $A=s^2$

s = side of square

Calculation:

  

Perimeter is sum of all sides and semi perimeter is sum of half of sides.

Semi perimeter = AB + BC

In square all sides are equal

Semi perimeter = AB + AB

  $\begin{array}{l}18=2AB\\ AB=\frac{18}{2}=9\end{array}$

Side = s = 9

Area of square ABCD :

  $\begin{array}{l}A=s^2\\ A=9^2\\ A=81m^2\end{array}$