Question

The cost of levelling a square lawn at 15 per square metre is 719,935. Find the
cost of fencing the lawn at 22 per metre.​

Answer 1

Answer:

Cost of fencing the lawn is rs $88\sqrt{\dfrac{143987}{3}}$ m, that is approximately 88√47996 m Or 88 x 219, approximately equal to Rs 19272.

Step-by-step explanation:

We know,

= > Cost of levelling = Rate of levelling x Area to be levelled.

Here,

Cost of levelling a square lawn is Rs 719,935.

Rate of levelling is Rs 15 per m^2.

Thus,

= > Rs 719935 = Rs 15 / m^2 x Area to be levelled

= > 719935 = 15 / m^2 x Area to be levelled

= > ( 719935 / 15 ) m^2 = Area to be levelled

= > ( 143987 / 3 ) m^2 = Area to be levelled

Since area to be levelled is the area of that square lawn, so that area of that square lawn is ( 143987 / 3 )m^2.

And, from the properties of square : -

• Area of square = a^2 , where a is the length of side of square

= > Area of that lawn = ( 143987 / 3 ) m^2

= > ( length of side of that lawn )^2 = ( 143987 / 3 ) m^2

= > length of side of that lawn = ± √( 143987 / 3 m^2 )

= > length of side of that lawn = √( 143987 / 3 m ) length can't be negative

Then,

= > Perimeter of that lawn = 4√( 143987 / 3 ) m

Thus,

= > Cost of fencing the lawn = Rate of finding x Area to be fenced

= > Cost of fencing the lawn = Rs 22 / m x perimeter of that lawn

= > Cost of fencing the lawn = Rs 22 x 4√( 143987 / 3 )m

= > Cost of fencing the lawn = Rs $88\sqrt{\dfrac{143987}{3}}$ m

Hence the cost of fencing the lawn is rs $88\sqrt{\dfrac{143987}{3}}$ m .

Answer 2

Your Question is incorrect.

Correct Question :-

The cost of levelling a square lawn at Rs 15 per square metre is Rs 19935. Find the cost of fencing the lawn at Rs 22 per metre.

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Solution :-

Area of the lawn = Total cost / Cost per m²

= 19935 / 15

= 1329 m²

Area of the square = Side × Side

→ 1329 m² = ( Side )²

→ √1329 m = Side

Length of Each side = 36.45 m

Now,

Perimeter of the Square = 4 × Side

= 4 × 36.45

= 145.8 m

According to the Question,

Cost of fencing = Rs. 22 per m

Total cost of fencing = 145.8 × 22

= Rs. 3207.6

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