Question

In a rectangular garden of size 43m by 27m, 1.3m wide space is left all round from
inside for planting rose plants and remaining portion of the garden is having benches for
sitting. Find the cost of covering the flower bed with rose plants at the rate of₹50 pee sq m​

Answer 1

Given:

In a rectangular garden of size 43 m by 27 m, 1.3 m wide space is left all round from inside for planting rose plants and the remaining portion of the garden is having benches for sitting

To find:

The cost of covering the flower bed with rose plants at the rate of ₹ 50 per sq m​

Solution:

The dimensions of the rectangular garden including the flower bed:

Length, L = 43 m

Breadth, B = 27 m

∴ The area of the rectangular garden including the flower bed,

= L × B

= 43 × 27

= 1161 m²

The width of the space left all around from inside the garden, w = 1.3 m

The inner dimensions of the garden excluding the flower bed:

Inner length = L - 2w = 43 - (2 × 1.3) = 40.4 m

Inner breadth = B - 2w = 27 - (2 × 1.3) = 24.4 m

∴ The area of the remaining portion of the garden excluding the flower bed is,

= 40.4 × 24.4

= 985.76 m²

∴ The area of the flower bed is = 1161 m² - 985.76 m² = 175.24 m²

Now,

If the cost of covering 1 m² flower bed with rose plants = ₹ 50

Then,

The cost of covering 175.24 m² of the flower bed is,

= 175.24 m² × ₹ 50

= ₹ 8762

Thus, the cost of covering the flower bed with rose plants at the rate of ₹ 50 per sq m​ is → ₹ 8762.

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