Rose's garden is in the shape of a trapezoid. The ht is 16m one base is 20m and the area is 224m2 find the length of the other base
290m2
To find the length of the other base of Rose's garden, we need to use the formula for the area of a trapezoid.
The formula for the area of a trapezoid is:
Area = (1/2) * (sum of bases) * height
Given that the height of the trapezoid is 16m and the area is 224m2, we can substitute these values into the formula:
224m2 = (1/2) * (sum of bases) * 16m
Dividing both sides of the equation by 16m gives:
14m = (1/2) * (sum of bases)
To find the sum of the bases, we can multiply both sides of the equation by 2:
28m = sum of bases
Given that one base is 20m, we can substitute this value into the equation to find the length of the other base:
28m = 20m + length of the other base
To isolate the length of the other base, we can subtract 20m from both sides:
Length of the other base = 28m - 20m = 8m
Therefore, the length of the other base of Rose's garden is 8m.