Question

In rhombus ABCD below, AE =6 cm and BE =7 cm.Find the area of the rhombus.Be sure to include the correct unit in your answer.

Answer 1

Solution:

Given the rhombus;

$AE=6cm,BE=7cm$$\begin{gathered} AC\text{ and }BD\text{ are diagonals of the rhombus. Thus;} \\ \\ AC=2(AE)=2(6cm)=12cm \\ \\ BD=2(BE)=2(7cm)=14cm \end{gathered}$

Then, the area, A, of a rhombus is;

$\begin{gathered} A=\frac{|AC||BD|}{2}cm^2 \\ \\ A=\frac{12\times14}{2}cm^2 \\ \\ A=84cm^2 \end{gathered}$

ANSWER:

$Area=84cm^2$