Question 62696
<b>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.</b>

The formula for the area of a trapezoid is: {{{a=(1/2)h(B[1]+B[2])}}} where {{{B[1]}}} is one base and {{{B[2]}}} is the other base.

We know that {{{h=16}}}, {{{B[1]=20}}}, and {{{a=224}}}.

So, plug these numbers into the area formula and {{{224=(1/2)(16)(20+B[2])}}}.
Or, {{{224=8(20+B[2])}}}.
So, {{{224=160+8B[2]}}} or {{{64=8B[2]}}}. So, {{{B[2] = 8}}}.

Let's verify that {{{B[2] = 8}}}.

{{{a=(1/2)h(B[1]+B[2]) =(1/2)(16)(20+8)=8(28)=224}}}.