Question

Mr Jenkins has a grass lawn that is 24m wide and 30m long. Mr Jenkins cuts the grass at a rate of 9m2 per minute. How long will it take mr Jenkins to cut all the grass​

Answer 1

Answer:

Let the side of the lawn be ‘x’ meters.

The lawn is surrounded by a path of 2.5 meters on each side.

So, the overall side of lawn including the path is x+(2*2.5) = x+5

given,

area of overall lawn and path (this also forms a square loom at the diagram) is 165meters^2

area of square = a^2 = (x+5)^2

165 = (x+5)^2

x+5 = sqrt(165)

x +5 = 12.8452

x = 12.8452 - 5

x = 7.8452meters.

area of lawn = x^2 = (7.8452)^2

ANS: The area of lawn is 61.5476 meters^2.

Answer 2

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Length of the grass law = 30 cm

width of the grass law =24

hence the area of the grass lawn is given as:-

Area = length × width

⇒Area of the grass lawn = 30 m × 24 m

⇒Area of the grass lawn = 370 m²

Hence the area of Mr. Jenkin's grass lawn is 720 m²

Now it is given that the rate at which the grass is cut, is 9 m² per minute.

Hence to cut all the grass of the lawn, the time taken would be :-

⇒Total time = Total area / Rate per m²

⇒Total time = 720 m² / 9 m²/min

⇒Total time = 80 minutes