Question

Given the area of a trapezoid is 86 in’, and the height is 4 in. If one base is 18 in, determine the other base.

Answer 1

Answer:

25 = base

Step-by-step explanation:

I searched all of this on YT to try and help

so first we need to know the area of a Trapezoid

A = 1/2h(b + b)

86 = 1/2(18 + b)4

we dont know the base where going to put b

we also dont like fractions so where going to get rid of 2 by multiplying 2 by 2. And we do it in both ends, so where doing the same with our Area.

172 = (18 + b)4

the 4 is multipling so divide it on both ends.

43 = (18 + b)

then do the opposite operation on the 18, by subtracting 18 on both sides.

25 = b

is the base

check the work by plugging it back in

A = 1/2h(b + b)

A = 1/2 4(18+25)

A = 1/2 4(43)

A = 1/2(172)

A = 86in