Question

A rectangular room must have a maximum area of 84 square feet. If the room is to be 8 feet wide, what is the longest the room can be?


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Answer 1

The area of a rectangle is equal to its length times its width. We know the width, which is 8ft, and the max area, 84 ft^2. So:
\[84 ft^2 = 8ft \times L\]So, you can solve for L here by dividing both sides by 8 feet.