Question

the perimeter of a square is 25 m. find the cost of laying a lawn on the land at the rate of RS.5 PER SQUARE METER

Answer 1

Question :The perimeter of a square land is 25 m. Find the cost of laying a lawn on the land at the rate of Rs 5 per square metre .

Solution :

$\underline{\bold {Given:}}$

• Perimeter of the square land = 25 m

$\underline{\bold {To\:Find}}$

• Cost of laying a lawn on the land.

$\boxed {\pink {Side = \frac{Perimeter}{4}}}$

$\implies Side = \frac{Perimeter}{4} \\ \implies Side =( \frac{25}{4} ) \: m \\ \implies Side = 6.25 \: m$

$\boxed{\blue{Area = (Side)^2}}$

$\implies Area = (Side)^2 \\ \implies Area = {(6.25 \: m)}^{2} \\ \implies Area = 39.0625 \: m^2$

$Cost \: of \: laying\:a\:lawn \:in \: 1 \: {m}^{2} = Rs \: 5$

$Cost \:of\: laying \:a \:lawn \:in\:39.0625 \:m^2 =Rs\:(39.0625\times5)=Rs\: 195.3125$

$\fbox {\green{Cost\:of \:laying \:a\: lawn=Rs\:195.3125}}$

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Answer 2

Answer:

192.2

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Step-by-step explanation:

to find out the cost, we need to find

area x cost per sq m

area = (perimeter ÷ 4)²

= (25 divided by 4)sqare

= 6.2 x 6.2

= 38.44m2

cost = 38.44 x 5

= 192.2 Rs