Question

A path 1m wide is built along the border and inside a square garden of side 30m find the area of the path and cost of planting grass In remaining portion of the rate the garden at rs 40per m2in class 7the in subject mathametics write dawn

Answer 1

Answer:

Rs 31360

Step-by-step explanation:

Since the path is 1m wide on each side, the sides of the inside portion of the garden will be (30 - 2) = 28 m

Area of the garden where grass is to be planted = S² = (28)² = 784

Cost of planting grass = Rs 40 per m²

Total cost = 784 X 40 = Rs 31360

Answer 2

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Given:

A path 1m wide is built along the border & inside a square garden of side 30m.

Find:

The area of the path, the cost of planting grass in the remaining portion of the garden at the rate of Rs.40 per m².

Calculations:

Let "x" the square garden of side (30m) and "y" be the region inside the garden.

$\sf\rightarrow \: y = (30 -1-1 ) = 28 m \\ </p><p>\sf\rightarrow \: y = ( 30 - 1 - 1 ) = 28 m$

Area of path = Area of square garden - Area of region inside the garden.

$\sf\rightarrow( 30 × 30) - (28 × 28) \\ </p><p>\sf\rightarrow 900 - 784 \\ </p><p>\sf\rightarrow116 \: sq.m$

Area of the remaining portion planted = area of square x.

$\sf\rightarrow28 × 28 \\ </p><p>\sf\rightarrow 784 \: sq.m \\ </p><p>\sf\rightarrow 764 × 40 \\ </p><p>\sf\rightarrow 31,360$

Therefore, 31,360 is the cost of planting grass in the remaining portion of the garden at the rate of Rs.40 per m².