Question

what is the area of a square park whose is 75 metres? find the total cost of planting grass in it at ₹15 per sq m.​

Answer 1

D I A G R A M :

$\sf{75 \:m}\huge\boxed{ \begin{array}{cc} \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \: \ \\ \: \: \: \: \: \end{array}} \\ \: \: \: \: \: \sf{75 \: m}$

$\Large {\underline { \sf \orange{Clarification :}}}$

Here, we are given that the length of the side of park is 75 m. We have to find the total cost of planting grass in it at ₹15 per m².

In order to find the the total cost of planting grass in it, we need to find the area of the park because grass is planted in the whole park. So, firstly we'll calculate its area. Now, it is also given that the cost of planting grass per m² is ₹ 15. So, we'll multiply the area of the park with ₹ 15 to get the total cost of planting grass in park.

$\Large {\underline { \sf \orange{Explication \: of \: Steps :}}}$

We have,

• Length of the square shaped park = 75 m
• Cost of planting grass per m² = ₹ 15

According to the question,

$\bigstar \: \boxed{\sf { Cost_{(Total)} = Area_{(Park)} \times Cost_{(1 \: {m}^{2})} }}$

$\bf \red { \dag }$ Area of the park :-

We know that,

$\bigstar \: \boxed{\sf { Area_{(Square)} = {(Side)}^2}}$

$\longrightarrow \sf {Area_{(Square \: Park)} = {(75 \: m)}^2 }$

$\longrightarrow \sf {Area_{(Square \: Park)} = 5625 \: m^2 }$

$\bf \red { \dag }$ Finding total cost of planting grass :-

$\bigstar \: \boxed{\sf { Cost_{(Total)} = Area_{(Park)} \times Cost_{(1 \: {m}^{2})} }}$

• Cost of planting grass 1 m² is ₹ 15.

$\longrightarrow \sf {Cost_{(Total)} = Rs. \: ( 5625 \times 15 ) }$

$\longrightarrow \underline{\boxed{\sf{ Cost_{(Total)} = Rs. \: 84,375}}} \: \orange{\bigstar}$

❝ Therefore, area of the park is 5625 m² and total cost of planting grass in it is ₹ 84375.❞

Answer 2

Given:-

• side is 75 metres.
• cost of planting grass in it at ₹15 per m²

Find:-

• area of a square park
• cost of planting grass

Formula used:-

• Area = (s)²
• Unitary Method

Solution:-

Area = (s)²

=> (75)²

=> 5625 m² Ans.

Cost of planting grass in 1 m² = ₹15

:. Cost of planting grass in 75 m²

= ₹15×75

=> ₹ 1125 Ans.

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