An umbrella is made by stitching 12 tvingebr
pieces of Cloth of two different colors.
each piece measuring 52cm, 52cm & 40cm
How much cloth is required for umbrella?
what is the total cost of the cloth at the
rate of 20 paise per sq.com?
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Answer:
Given, an umbrella is made of 12 triangular pieces each of measure 50 cm, 20 cm, 50 cm.
To find area of cloth required we have to first find the area of one piece of cloth.
Semi perimeter, s==
2
Sumofsidesoftriangle
=
2
50+20+50
=60cm
Using heron's formula, Area of one triangular piece=
s(s−a)(s−b)(s−c)
=
60(60−50)(60−20)(60−50)
=
60×10×40×10
=200
6
cm
2
Area of 12 triangular pieces or area of cloth used= Area of one triangular piece × 12
=200
6
cm
2
×12
=2400
6
cm
2
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