Question

5.
The height of a parallelogram is one third of its base if the area of parallelogram
is 192 cmsq, find height and the base.
a 8cm, 24cm b) 8cm, 20cm
c) 7cm, 24cm
d) None​

Answer 1

✪ Question ✪

The height of a parallelogram is one third of its base. If the area of parallelogram is 192 cm², find the height and the base.

(a) 8cm, 24cm

(b) 8cm, 20cm

(c) 7cm, 24cm

(d) None

✪ Given ✪

• The height of a parallelogram is one third of its base.
• The area of parallelogram is 192 cm².

✪ Formula ✪

Area of parallelogram = Height × Base

✪ To find ✪

The height and the base.

✪ Solution ✪

Let the base be x cm.

So, height = 1/3 × x = x/3

According to condition,

x × x/3 = 192

↝x²/3 = 192

↝3 × x²/3 = 3 × 192

↝x² = 576

↝x = √576

↝x = √(24 × 24)

↝x = 24

✪ Hence ✪

x = 24

So, base = x cm = 24 cm

and height = x/3 cm = 24/3 cm = 8 cm

✪ Therefore ✪

The height is 8 cm and base is 24 cm.

So, the correct option is (a) 8cm, 24cm.

๑ Hope this helps you. ๑