Four square flowerbeds each of sides 2 m are dug on a piece of land 12 m long
and 9 m wide. Find the area of the remaining portion of the land. Find the cost
of levelling this land at the rate of Rs 3 per 100 cm².
Answers
Answer:
- The area of the remaining portion of the land = 92 m² Or 920000 cm²
- The cost of the levelling is ₹ 27600.
Given :
- Sides of flowerbeds = 2m
- Length of dug peace on land = 12 m
- Breadth of dug peace on land = 9 m
- Cost = ₹ 3 per 100 cm²
To find :
- The area of the remaining portion of the land =?
- The cost of levelling =?
Step-by-step explanation:
Area of four flowerbeds = Area of square = side²
= 4 flowerbeds × side²
= 4 × ( side²)
= 4 × 2 × 2
= 16 m²
Now, Area of land = Area of rectangle = l × b
= 12 × 9
= 108 m²
So, the remaining portion = area of land - area of four flowerbeds
= 108 - 16
= 92 m²
Or, 92 × 100 × 100 cm² = 920000 cm ²
Then, the cost of levelling this land at the rate of Rs 3 per 100 cm²,
= 920000 × 3/100
= 9200 × 3
= ₹ 27600
Thus, The cost of the levelling is ₹27600.
Step-by-step explanation:
Answer :-
₹27600
Given :-
Four square flowerbeds each of sides 2m are dug on a piece of land 12 m long and 9 m wide.
To find :-
The area of the remaining portion of the land.
SOLUTION :-
Area of the piece of land = Length×Breadth
= 12m × 9m = 108 m²
Area of each flowerbed = (Side)² = 2² = 4 m²
Area of four flowerbeds = 4 m² × 4 = 16 m².
Area of the remaining portion of the land = Area of the piece of land - Area of four flowerbeds
===> Area of the remaining portion = 108-16 = 92m².
92m² = 92×100×100 = 920000 cm²
Also given that,
Cost of leveling 100 cm² land = ₹3
Cost of levelling 1 cm² land = ₹3/100 = ₹0.03
Cost of 920000 cm² land = ₹0.03 × 920000 = ₹27,600.
Therefore, cost of levelling the remaining portion is ₹27,600.