Question

the perimeter of a square is 144 m find the cost of cementing it at the rate of ruppe 15 per m.​

Answer 1

Correct Question

The perimeter of a square is 144 m find the cost of cementing it at the rate of ruppe 15 per m²

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To solve such problems, we need to remember the formula of Perimeter & Area of the square. It is given as,

• Perimeter of a square is equal to sum of all sides of a square.

• A square has 4 sides. Therefore, the formula of the perimeter of square is 4 × side

• Area of a square is equal to product of sides i.e side × side

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To find : Total cost of cementing a square⠀

Given, perimeter of a square = 144m

• Equate the side of a square

Apply formula of the perimeter of square

$\implies \sf 4 \times side = 144 \\ \\ { \underline{ \pmb{ \tt{Let \: consider \: the \: side \: of \: a \: square \: be \: 'a'}}}} \\ \\ \implies \sf 4 \times a = 144 \\ \\ \implies \sf a = \dfrac{ \cancel{144} \: \: ^{36}}{ \cancel 4} \\ \\ \therefore\sf \: \: a = 36m$

• Each side of a square is 36 m

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Now, calculate the area of a square

$\implies \sf side \times side \\ \\ \implies \sf a \times a \\ \\ \implies \sf 1296m^2$

• Area of a square is 1296m²

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Calculate the cost of cementing a square

• Cost of cementing 1 m² of a square is Rs.15

• Cost of cementing 1296m² of a square

$\qquad\implies \sf 15 \times 1296 \\ \\ \implies \sf 19440$

Final Answer

• Total cost for cementing a square is Rs.19,440

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