Solve for AB. Round your answer to the nearest tenth if necessary.

AB = 55.25

Step-by-step explanation:

Set up an equation where the length of AB is equal to AC minus BC. This will allow us to solve for x, and then the length of AB.

AB = AC - BC

5x + 9 = 87 - (3x + 4)

5x + 9 = 87 - 3x - 4

5x + 9 = 83 - 3x

8x + 9 = 83

8x = 74

x = 9.25

Now plug  9.25 in for x in the equation for AB

AB = 5x + 9

AB = 5(9.25) + 9

AB = 46.25 + 9

AB = 55.25

area

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Step-by-step explanation: