Originally Posted by

**magentarita** A homeowner wants to increase the size of a rectangular deck that now measures 15 feet by 20 feet, but building code laws state that a homeownercannot have a deck larger than 900 square feet. If the length and the width are to be increased by the same amount, find, to the nearest tenth, the maximum number of feet that the length of the deck may be increased in size legally.

My Work:

I let x = different values but the same for the width and length.

If x = 12, then width = 12 + 15 = 27 ft.

If x = 12, then length = 12 + 20 = 32 ft.

The 32 ft times 27 ft = 864 ft, which is close to 900 square feet but not over 900 square feet.

However, the answer is **12.6** **not** **12.**

How do I get **12.6**?