Question

Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the approximate diagonal length of the table top? Round to the nearest tenth.

Answer 1

8.5 ft = length of diagonal

Explanation:

If A = 36 ft^2, then s (length of one side) = 6 ft.

The diagonal and any one side create a 45 degree angle.

sin 45 degrees = (length of side opposite the 45 degree angle)/hypotenuse

6 ft 6√2 ft

Then (length of hypotenuse) = ------------------ = ---------------

sin 45 deg 1

This works out to 8.5 ft = length of diagonal