Question

The figure ABCD is a quadrilateral in which AB= CD and BC=AD. Its area is

• A. $72c{m}^2$
• B. $36c{m}^2$
• C. $24c{m}^2$
• D. $18c{m}^2$

Answer 1

The correct option is B $36c{m}^2$

As the given qudailateral ABCD is a parallelogram, the diagonal AC of the given parallelogram ABCD divides it into two triangles of equal areas
Area of $△ABC=$ $\frac{1}{2}\times base\times height$
= $\frac{1}{2}\times 12\times 3$ = $18c{m}^2$
Therefore, area of the parallelogram ABCD = $2\times AreaofABC=$ 2\times 18 = $36c{m}^2$