Richard cuts two of his neighbours lawns. the first is 8m long and 2m wide what is the area? the second lawn takes richard 5 times as long to cut and he knows that all lawns have the same length dimension what is the width of the second neighbour's area?
A = lw
A = 8 * 2
A = 16 sq. m
5 * 16 = 80
80 = 8w
10 = w
To find the area of the first lawn, we use the formula: Area = Length × Width.
Given that the length is 8m and the width is 2m, we substitute these values into the formula:
Area1 = 8m × 2m = 16 square meters.
Now, let's determine the width of the second neighbor's lawn. We know that it takes Richard 5 times longer to cut the second lawn, which means we can assume that the length of the second lawn is 5 times the length of the first lawn.
Since Richard knows that all lawns have the same length dimension, we can infer that the length of the second lawn is 8m × 5 = 40m.
Let's use the formula for area again to find the width of the second lawn:
Area2 = Length × Width2.
Plugging in the values of Area2 (which is the same as Area1 because the areas are equal) and Length as 16 square meters and 40m respectively:
16 square meters = 40m × Width2.
To solve for Width2:
Width2 = 16 square meters / 40m = 0.4 meters.
Therefore, the width of the second neighbor's lawn is 0.4 meters.