Question

A square has a perimeter of 48 mm and area of 144 mm, what's the measurement for one side?

Answer 1

Step-by-step explanation:

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Answer 2

A n s w e r

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G i v e n

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• A square has a perimeter of 48 mm

• Area of the square is 144 sq. mm

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F i n d

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• Measurement for one side

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S o l u t i o n

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Let the each side of square measure "s" mm

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$\underline{\bold{\texttt{Perimeter of square :}}}$

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➜ p = 4a ⚊⚊⚊⚊ ⓵

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Where ,

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• p = Perimeter

• a = Side of square

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$\underline{\bold{\texttt{Perimeter of given square :}}}$

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• p = 48 mm

• a = s

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⟮ Putting the above values in ⓵ ⟯

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➜ p = 4a

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➜ 48 = 4s

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➜ $\sf s = \dfrac { 48 } { 4 }$

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➨ s = 12 mm

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• Hence the side of square is 12 mm

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V e r i f i c a t i o n

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$\underline{\bold{\texttt{Area of square :}}}$

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➠ a²

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Where ,

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• a = Side of square

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Given that the area of square is 144 sq. mm.

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So,

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➜ a² = 144

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➜ $\sf a = \sqrt { 144 }$

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• a = 12 mm

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Verified

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∴ The side of square is of length 12 mm