A trapezoid with an area of 48m2 has a height of 6m. One of its bases is 12m. Write and solve an equation to find the length of its other base.

Also explain the work so I can understand when I do the test. Thanks

2 answers

area of trap
= (1/2)(sum of parallel sides)(distance between them)

(1/2(a + 12)(6) , where a is the other parallel side.

(1/2(a + 12)(6) = 48
3(a+12) = 48
3a + 36 = 48
3a = 12
a = 4
area=height(12+base2)/2
solve for base2