A rectangle lawn 20meter long and 12meter wide is bordered by a path 2 meter wide. Find area of the path?
recall that the area of rectangle is given by
A = L*W
where L is length and W is width.
substituting,
A = 20*12 = 240 m^2 (we'll use this later)
since there is 2 m wide path, (and thus there is total of 4 m on both sides),
20 - 4 = 16 m
12 - 4 = 8 m
getting the area of this,
area = 16*8 = 128 m^2
finally, we subtract this from the original:
240 - 128 = 112 m^2 (area of path)
hope this helps~ :)
136
To find the area of the path surrounding the rectangular lawn, we need to subtract the area of the lawn itself from the area of the larger rectangle formed by the outer dimensions of the path.
First, let's calculate the area of the larger rectangle by adding twice the width of the path to both the length and width of the lawn.
Length of the larger rectangle = Length of the lawn + 2*(width of the path) = 20 + 2*2 = 20 + 4 = 24 meters
Width of the larger rectangle = Width of the lawn + 2*(width of the path) = 12 + 2*2 = 12 + 4 = 16 meters
Now, we can find the area of the larger rectangle by multiplying its length and width:
Area of the larger rectangle = Length of larger rectangle * Width of larger rectangle = 24 * 16 = 384 square meters
Next, we need to calculate the area of the lawn:
Area of the lawn = Length of the lawn * Width of the lawn = 20 * 12 = 240 square meters
Finally, to find the area of the path, we subtract the area of the lawn from the area of the larger rectangle:
Area of the path = Area of the larger rectangle - Area of the lawn = 384 - 240 = 144 square meters
Therefore, the area of the path surrounding the rectangular lawn is 144 square meters.