Question

A parallelogram and square have same area.if sides of square measures 40 m and altitude of parallelogram measures 25m.find length of corresponding base of parallelogram.

Answer 1

Let the base of parallelogram be a m

According to question,

Area of parallelogram = Area of square

=> Base × Height = Side^2

=> a × 25 = 40 × 40

=> a = 8 × 8

=> a = 64

Base of parallelogram = 64 m

Answer 2

$\text {Your answer !!}$

$\textbf {Given =>}$

$\textbf {Area of parallelogram = Area of square}$

$\textbf {Side of the square = 40m}$

$\textbf {Altitude of parallelogram = 25m}$

$\textbf {Find =>}$

$\textbf {Base of parallelogram! }$


$area \: of \: parallelogram = area \: of \: square \\ \\ = > base \times height = {(side)}^{2} \\ \\ = > base \times 25 = {(40)}^{2} \\ \\ = > base \times 25 = 40 \times 40 \\ \\ > base \times 25 = 1600 \\ \\ = > base = \frac{1600}{25} \\ \\ = > base = 64m$

$\textbf {Hence, your answer => Base = 64m !!}$

$\text {Thanks !!}$