There is a common equation we use to find the Area of a trapezoid. (a+b)h/2=A Let's fill in what we know. We're not going to fill in any information about the bases. (a+b)8/2=96 We can already tell that 8/2 will simplify to 4. (a+b)4=96 Let's divide each side by 4. a+b=24 Now, let's look at the information about the bases. So, we will have this in terms of base a, since one base is longer than the other. This is how it'll look. a +(a+6)=24 We can simplify that further. 2a+6=24 now subtract 6 from each side. 2a=18 Let's divide 9=a So one side is 9, so the other one is 15. We should make sure everything makes sense by putting all the information in the formula to find area. (9+15)8/2 24×4 96. The lengths of the bases are 9 and 15 inches.
