Question

The area of a square plot is 60025 m square find the cost of fencing the plot at the rate of rupees 50 per meter

Answer 1

Answer:-

Given:

Area of a square plot = 60025 m²

We know that,

Area of a square = a² where a is the side's length.

→ a² = 60025

→ a² = (245)²

→ a = 245 m

Length of side of the square plot = 245 m

We have to find:

The cost of fencing the plot at rate of Rs. 50 per m.

Cost of fencing the plot = 50 * perimeter of the plot.

Perimeter of a square = 4a

Hence,

Cost of fencing the plot = 50 * 4 * 245

→ Cost of fencing the plot = Rs. 49,000

Hence, it costs Rs. 49,000 to fence the plot.

Answer 2

Answer:

Step-by-step explanation:-

$\bf { \underline{ \underline \red{Given:-}}}$

• Area of the square plot = 60025m²

• The rate of fencing the for 1m² = Rs.50

$\bf { \underline{ \underline \blue{To\:Find:-}}}$

• The cost of fencing the total plot.

$\bf { \underline{ \underline \green{Solution:-}}}$

In order to find the cost of fencing the plot we need to find the perimeter of the plot.

Given:- Area of the plot = 60025m²

Area of the square = (Length of square)²

Area of the plot = (Length of the plot)²

$\sf\rightarrow \: Length \: of \: the \: plot = \sqrt{Area}$

$\sf\rightarrow \sqrt{60025}$

$\sf \rightarrow245$

∴ Length of the plot = 245m

Now perimeter of the plot:-

$\large\boxed{ \sf{ Perimeter \: of \: square \: = 4(length)}}$

Perimeter of the plot

$\sf \rightarrow4 \times 245$

$\sf \rightarrow980$

∴ Perimeter of the plot = 980m

Cost of fencing for 1m² = Rs.50

Cost of fencing 980m² = 50 × 980 = Rs.49,000

$\large\boxed{ \sf Cost \: of \: fencing \: the \: field = Rs.49000}$