Question

If the area of a parallelogram of base 16m is equal to the area of a square of side 8m. What is the height of the parallelogram?

• A. 2m
• B. 4m
• C. 6m
• D. 8m

Answer 1

The correct option is B 4m

Given, base of the parallelogram = 16 m
Side of the square = 8 m

• Area of the square
  = side x side
  = 8 m x 8 m
  = 64 $m^2$
• Area of the parallelogram
  = base x height
  = 16 m x height

Given,
Area of parallelogram = Area of square
$\therefore 16m\times height=64m^2\Rightarrow height=\frac{64}{16}m\Rightarrow height=4m$

Therefore, height of the parallelogram is 4 m.