Question

the height of a parallelogram is twice its base if its area is 450 CM square find its base and height

Answer 1

Let base = x
Altitude = 2x

Area of parallelogram = b × h
450cm sq. = (x) × (2x)
450cm sq. = 2x^2
450cm sq. ÷ 2= x^2
225cm sq. = x^2
15cm = x

BASE = x = 15cm

ALTITUDE = 2x = 2 × 15cm = 30cm

hope it helps to you.

Answer 2

Given - Height of a parallelogram is twice its base

Area is 450 cm²

Find - Base and height

Solution - The area of parallelogram is given by the formula - base * height.

Let the base of parallelogram be x. The height of parallelogram will be 2x.

Keeping the values in formula to find the value of base and height of parallelogram.

450 = x*2x

2x² = 450

x² = 225

x =✓225

x = 15

Thus, base of parallelogram is 15 centimetres.

Height of parallelogram= 2x

Height of parallelogram = 2*15

Height of parallelogram = 30 centimetres.

Therefore, base and height of parallelogram is 15 and 30 centimetres respectively.