Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per m2.
Answers
Answer:
Explaination:
Area of plot = side × side
= 25 × 25
625 Sq.m.
Area of house = l × b
= 20 × 15
= 300 Sq.m.
Area of garden = Area of plot - Area of house
= 625 - 300
= 325 sq.m.
Cost of developing 1 sq.m. = ₹55
Cost of developing 325 sq.m. = 55 × 325
= ₹ 17875
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Solution :
- Calculating the areas of the square plot and the rectangle house region.
Area of the square = Square of its sides.
➞ Area = (s)²
➞ Area = (25)²
➞ Area = 625 m²
Area of rectangle = Product of length and Breadth
➞ Area = (L × B)
➞ Area = (20 × 15)
➞ Area = 300 m²
- Calculating Area of the garden and the required cost.
Area of garden = (Area of square plot side 25 cm) – (Area of the rectangular house)
➞ Area of garden = 625 m² – 300 m²
Cost of developing garden per m² = Rs. 55
Cost of developing garden 325 m² = (325 × 55)
➞ Rs. 17, 875
Hence, Required cost of developing the garden is Rs. 17, 875.
