Question 47

An umbrella is made by stitching 10 triangular pieces of cloth of two different colours each piece measuring 30cm, 60cm, 60cm. How much cloth of each colour is required for Umbrella?

Solution

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s = $$\ \frac{\ a+b+c}{2}$$ = $$\ \frac{\ 30+60+60}{2}$$ cm =75 cm
Using Heron's formula
Area=√[s(s-a)(s-b)(s-c)]
=√[75(75-60)(75-60)(75-30)]
=$$225\sqrt{\ 15}$$ cm
There are total 10 pieces 

First colour=5*($$225\sqrt{\ 15}$$) = $$1125\sqrt{15}$$ cm
Second colour=5*($$225\sqrt{\ 15}$$) = $$1125\sqrt{15}$$ cm

B is the correct answer.

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