Question

It costs ₹8704 to fence a square field at the rate of ₹8.50 per metre. Find the area of the field.​

Answer 1

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Given:

To fence per metre square field it cost ₹8.50 per metre and ₹8704 to fence a square field

To find:

Area of the field = ?

Explanation:

₹8.50 is cost of fencing 1 m

₹8704 is cost of fencing

8704 × 1/ 8.50 = 1024 m

Note: Perimeter is the length of outline of a field so 1024 m is the perimeter here

Perimeter of square = 4 × side

$\\ \\ 1024 = 4 \times side \\ \\ \dfrac{1024}{4} = side \\ \\ 256 = side \\ \\ side \: = 256 \: m$

Area of square = (side) ²

$\\ \\ Area \: of \: square = 256 \times 256 \\ \\ = 65536 \: m {}^{2}$

Answer:

Thus, Area of the field is 65536 m²

Knowledge booster:

1) If 1 metre cost 5 Rs then

5 metre cost 5 × 5/1 = Rs 25

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2) If 2 metre cost Rs 2.5

7 metre cost 7 × 2.5/ 2 = Rs 8.75

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3) Try to solve more such questions to get good hold on it