A gardener has to lay a grass lawn, leaving space for an 80 cm wide concrete path along the inside edge of a square garden with an area of 72.25 meter square. what will be the area of the grass lawn?
length and width decreased by 0.80 * 2 = 1.6 m
L = w = sqrt 72.25 = 8.5 m
A = (8.5 -1.6)^2
47.61 m squared.
Thank you.
To find the area of the grass lawn, we need to calculate the area of the square garden after deducting the area occupied by the concrete path.
Let's start by finding the length of one side of the square garden. Since the area of the square garden is given as 72.25 square meters, we can take the square root of the area to find the length of one side.
√(72.25) = 8.5 meters
Now, we need to account for the 80 cm (or 0.8 meters) wide concrete path along the inside edge of the garden. The grass lawn will be the remaining area inside the garden after subtracting the area occupied by the concrete path.
We can calculate the new length and width of the garden by deducting twice the width of the concrete path from the original length and width:
Length of garden = Length of square garden - 2 * Width of concrete path
= 8.5 meters - 2 * 0.8 meters
= 8.5 meters - 1.6 meters
= 6.9 meters
Width of garden = Width of square garden - 2 * Width of concrete path
= 8.5 meters - 2 * 0.8 meters
= 8.5 meters - 1.6 meters
= 6.9 meters
Finally, we can calculate the area of the grass lawn using the new length and width of the garden:
Area of grass lawn = Length of garden * Width of garden
= 6.9 meters * 6.9 meters
= 47.61 square meters
Therefore, the area of the grass lawn is 47.61 square meters.