An equilateral triangle and a square have equal perimeters. If side of the triangle is $9.6 c m$ ; what is the length of the side of the square ?

6.2 c m

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3.2 c m

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5.2 c m

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7.2 c m

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Solution

The correct option is D $7.2 c m$
Given that,
Perimeter of a square = Perimeter of an equilateral triangle with side $9.6 c m$

$⟹ 4 a = 3 (9.6) = 28.8$

$⟹ a = \frac{28.8}{4}$

$∴ a = 7.2 c m$

i.e., The length of the side of the square $= 7.2 c m$

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An equilateral triangle and a square have equal perimeters. If side of the triangle is 9.6 cm; what is the length of the side of the square ?

The correct option is D 7.2 cmGiven that,Perimeter of a square = Perimeter of an equilateral triangle with side 9.6 cm⟹4a=3(9.6)=28.8⟹a=28.84∴a=7.2 cmi.e., The length of the side of the square =7.2 cm

An equilateral triangle and a square have equal perimeters. If side of the triangle is $9.6 c m$ ; what is the length of the side of the square ?

The correct option is D $7.2 c m$
Given that,
Perimeter of a square = Perimeter of an equilateral triangle with side $9.6 c m$

$⟹ 4 a = 3 (9.6) = 28.8$

$⟹ a = \frac{28.8}{4}$

$∴ a = 7.2 c m$

i.e., The length of the side of the square $= 7.2 c m$