Question

The cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of ₹7 per m2 is ___ .

A

₹ 10,200

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B

₹10,100

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C

₹ 10,500

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D

₹ 10,000

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Solution

The correct option is C ₹ 10,500 Let the sides of the given triangular field be: a = 50 m b = 65 m c = 65 m Given that laying grass costs ₹ 7 per m2. We need to find the area of this triangular field, using Hheron's formula. Semi-perimeter,s=50+65+652=1802=90 m Area of triangular field =√s(s−a)(s−b)(s−c) =√90(90−50)(90−65)(90−65) =√90×40×25×25 =√10 × 3 × 3 ×10 × 2 × 2×25×25 =10 × 3 × 2 × 25=1500 m2 Cost of laying grass =7×1500 =₹ 10,500

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