Question

A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope? A) 280.5625 b) 333.0625 c) 333.0125 d) 400

Answer 1

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Given , sides of the triangle are

21 cm , 24 cm, 28 cm

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step1 Find perimeter of triangle :
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perimeter of triangle = sum of its all sides

=21 + 24 + 28 = 73 cm

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since , the length of rope is same :
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then ,

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perimeter of ∆ = perimeter of square
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73 cm = 4 × side

side = 73 / 4 = 18.25 cm

side of square = 18.25 cm

therefore ,

area of square = side × side

= 18.25 × 18.25 = 333.0625 cm^2

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Your Answer : (b) 333.0625 cm^2
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Answer 2

option b 333.0625

as sides of the triangle when added are 21+24+28=73

perimeter of square is 73

that means each side becomes 73/4

area of square is side*side=(73/4)*(73/4)=333.0625