Question

a playground is 750m long and 250m wide . find the cost of leveling it at ₹12 per 100sq.m. ​

Answer 1

Answer :-

• The cost of leveling the playground is Rs 22500.

Given :-

• A playground is 750 m long and 250 m wide.

To find :-

• The cost of leveling it at Rs 12 per 100 sq.m.

Step-by-step explanation :-

• In this question, the length and breadth of a rectangular playground has been given to us. We have to find the cost of leveling it at Rs 12 per 100 sq.m. Here, we will find the area of the playground, and not it's perimeter because leveling of the playground can only be done inside it, not on the boundaries. Once we know the area, we can find the cost of leveling it.

Calculations :-

• We know the length and breadth of the playground, which means that it's in the shape of a rectangle. So let's find it's area!

We know that :-

$\underline{\boxed{\sf Area \: of \: a \: rectangle = Length \times Breadth.}}$

Here,

• Length = 750 m.
• Breadth = 250 m.

Hence,

$\tt Area = 750 \times 250$

$\overline{\boxed{ \tt Area = 187500.}}$

• The area of the playground is 187500 m².

• Now, the cost of leveling is Rs 12 per sq.m. So, the cost of leveling per sq.m is Rs 12 ÷ 100. And we have to find the cost of leveling 187500 m².

Hence,

$\sf Cost \: of \: leveling = \dfrac{12}{1 \!\!\!\not0 \!\!\!\not0} \times 1875 \!\!\!\not0 \!\!\!\not0$

Cutting off the zeroes,

$\sf Cost \: of \: leveling = \dfrac{12}{1} \times 1875$

Now let's multiply the remaining numbers.

$\sf Cost \: of \: leveling = 12 \times 1875$

On multiplying,

$\overline{ \boxed{\sf Cost \: of \: leveling = 22500.}}$

-----------------------------------------------------------

• Hence, the cost of leveling the playground is Rs 22500.