Question

In a parallelogram, the base and the corresponding altitude are in the ratio of 4:5 and its area is 720cm2.Find the measure of itsbase and altitude

Answer 1

Question:-

In a parallelogram, the base and the corresponding altitude are in the ratio of 4:5 and its area is 720cm2.Find the measure of itsbase and altitude?

Given:-

• Ratio of base and corresponding altitude$\longrightarrow$ 4:5
• Area of parallelogram $\longrightarrow$ 720cm²

To Find:-

• Measure of its base and altitude

Solution:-

• Let x be multiplied to the ratios.
• Ratios are 4x and 5x

$\bf\implies 4x+5x \longrightarrow 720$

$\bf\implies 9x \longrightarrow 720$

$\bf\implies x \longrightarrow \frac{720}{9}$

$\bf\implies x \longrightarrow 80$

$\bf\implies 4x \longrightarrow 320cm$

$\bf\implies 5x \longrightarrow 400cm$

$\bf\implies Base \longrightarrow 320cm$

$\bf\implies Altitude \longrightarrow 400cm$