Answer :

**Given:** Base of an isosceles triangle = (3/2) times of equal sides and perimeter = 42 cm.

**To Find:** Area of the triangle.

**Concept Used:**

If sides of a triangle are a, b, and c, then area of a triangle is given by:

Where s = semiperimeter of the triangle

**Assumption:**

Let the equal sides of the triangle be ‘a’ cm.

**Explanation:**

Perimeter = 42

a = 12 cm

Therefore, the sides of the triangle are 12 cm, 12 cm, and 8 cm.

s = 21 cm

Now,

Area = 9√273 cm^{2}

**Hence, the area of the triangle is 9√273 cm ^{2} .**

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