The height of parallelogram is one fourth of it’s base. If its area

1.	The height of parallelogram is one fourth of it’s base. If its area is 144 sq. cm then find its base and height.
Answer» Let base of parallelogram = x cm Height of parallelogram = x/4 Area of parallelogram = 144 sq. cm ⇒ Base x Height = 144 x 4 x × x/4 = 144 x² = 144 × 4 x = \(\sqrt{144 \times 4}\) x = 12 x 2 = 24 cm Base of parallelogram = 24 cm Height of parallelogram = x/4 = 24/4 = 6 cm.

The height of parallelogram is one fourth of it’s base. If its area is 144 sq. cm then find its base and height.

Answer»

Let base of parallelogram = x cm

Height of parallelogram = x/4

Area of parallelogram = 144 sq. cm

⇒ Base x Height = 144 x 4

x × x/4 = 144

x² = 144 × 4

x = \(\sqrt{144 \times 4}\)

x = 12 x 2 = 24 cm

Base of parallelogram = 24 cm

Height of parallelogram = x/4 = 24/4 = 6 cm.