Question

What is the area of the rhombus ABCD below if AC= 6 cm, and BE= 4 cm

• A. $36c{m}^2$
• B. $16c{m}^2$
• C. $24c{m}^2$
• D. $13c{m}^2$

Answer 1

Answer: (C)

$24c{m}^2$

The diagonal AC of the rhombus ABCD divides it into two triangles of equal areas
Now, area of triangle ABC = $\frac{1}{2}\times base\times height$ = $\frac{1}{2}\times 4\times 6=12c{m}^2$
Therefore, area of the rhombus ABCD =$2\times$ Area of triangle $ABC$ = $2\times 12$ = $24c{m}^2$