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Question

The cost of fencing a triangular ground having the sides 15 m , 8 m and x m at the rate of ₹3 per m is :


A

₹220

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B

₹120

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C

₹140

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D

₹100

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Solution

The correct option is B

₹120


The given triangle is a right - angled triangle with right angle at B.

Using Pythagora's theorem we get :

x2 = AB2 + BC2

x2 = 152 + 82

x2 = 225 + 64 = 289

x = 17

Now we can calculate the perimeter by adding all the three sides

Perimeter = 17 + 15 + 8 = 40 m

Cost of fencing at ₹ 3 per metre = 40 × 3 = ₹120


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