Question

height of perallelogram is one third of it's base.if area of the perallelogram is 75cm² then its base is.​

Answer 1

Given :-

• The height of perallelogram is one third of it's base.

• The area of the perallelogram is 75cm².

To Find :-

• The base of perallelogram.

Solution :-

Let the height of perallelogram be x.

Base of perallelogram = ⅓ x

We have, The area of the perallelogram is 75cm².

Area of triangle is b × h.

b × h = 75

➝ x × ⅓x = 75

➝ x² = 75 × 3

➝ x² = 225

➝ x = √225

➝ x = 15 cm

Base = ⅓ × 15

= 5 cm

Hence, The base of perallelogram is 5 cm.

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