Chapter 11, Problem 4CR

To determine

To Find: The area of rhombus.

Answer to Problem 4CR

  $240sq.units$

Explanation of Solution

Given: $side=17,longerdiagonal=30$

Given: $side=17,longerdiagonal=30$

  

Using Pythagoras theorem finding the half of the other diagonal.

  $\begin{array}{l}{17}^2=d^2+{15}^2\\ d^2={17}^2-{15}^2\\ d^2=289-225\\ d^2=64\\ d=8\end{array}$

i.e.

The other diagonal is $2\times 8=16$

Area of rhombus.

  $\begin{array}{l}A=\frac{1}{2}{d}_1{d}_2\\ A=\frac{1}{2}\cdot 30\cdot 16\\ A=240sq.units\end{array}$