# A parallelogram and a square have the same area.

Question:

A parallelogram and a square have the same area. If the sides of the square measure 40 m and altitude of the parallelogram measures 25 m, find the length of the corresponding base of the parallelogram.

Solution:

It is given that,
Sides of the square = 40 m
Altitude of the parallelogram = 25 m

Now,
Area of the parallelogram = Area of the square

$\Rightarrow$ Base $\times$ Height $=(\text { side })^{2}$

$\Rightarrow$ Base $\times 25=(40)^{2}$

$\Rightarrow$ Base $\times 25=1600$

$\Rightarrow$ Base $=\frac{1600}{25}$

$\Rightarrow$ Base $=64 \mathrm{~m}$

Hence, the length of the corresponding base of the parallelogram is 64 m.