Question

Base and height of a parallelogram are in the ratio 5:3. Find the base and height of a parallelogram, if its area is 375$c{m}^2$.

• A. 10 cm, 6 cm
• B. 15 cm, 9 cm
• C. 20 cm, 12 cm
• D. 25 cm, 15 cm

Answer 1

The correct option is D 25 cm, 15 cm

Let the base and height of parallellogram be 5y and 3y respectively.
Given Area of the parallelogram = 375 cm${}^2$
We know
Area of parallelogram = Base$\times$Height
375 = 5y$\times$3y
$\frac{375}{15}$ = 25 = $y^2$
$⟹$y = 5

Base = 5y = 25 cm.
Height = 3y = 15 cm.