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Question

The.perimeter of an isosceles triangle is 32cm. The ratio of the equal side to base is 3:2. Find the area of the triangle.

A
122cm2
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B
162cm2
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C
222cm2
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D
322cm2
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Solution

The correct option is D 322cm2
The ratio of the equal side to the base is 3:2.

Let the sides be 3x, 2x. Let the third =3x

Given, perimeter =32

We know that the perimeter is equal to the sum of the sides. Thus,
3x+2x+3x=32

8x=32

x=4

322=16

Thus, the sides are 12 cm, 8 cm, 12 cm

Thus, Area of the triangle =322(1612)(168)(1612)

=16×4×8×4

=322cm2

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