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this question is answered by the formulas of surface area
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As the red and black triangular pieces of cloth are stitched alternatively, there are 3 pieces of each cloth..
We can find area by Heron's formula
S= Perimeter of Triangle ÷ 2
=》Perimeter= 20+50+50
=》120
S=60
Heron's formula= whole square root [s(s-a)(s-b)(s-c)]
=》whole square root[60(60-20)(60-50)(60-50)]
=》Whole square root[60(40)(10)(10)
=》Whole square root[2400×100]
=》200root6
For 3 triangles,
Area=3× area of 1 triangle
Area=3×200root6
Area=600root6
Therefore, we need 600root6 cm square of each color i.e. of red and black color respectively.
Hope it helps...
:)
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