A=1/2h(B+b)(for b) area of trapezoid 3 part question?

Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid

is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base?

A=1/2h(B+b)(for b) area of trapezoid 3 part question?
Area of a trapezium is 0.5(a+b)h, where a and b are the two parallel sides.



So for this question:



0.5(20+b)16 = 224

8(20+b) = 224

20+b = 224/8 = 28

b = 8
Reply:224=(1/2)(20+b)16

b=8
Reply:A = 224

h = 16

B = 20

Substitute:

224 = .5(16)(20+b)

Simplify:

224 = 8(20 + b)

28 = 20 + b

b = 8