Question

Sue has a piece of paper measures 20 inby 15 in. What is the longest straight line that Sue can draw on the paper

Answer 1

Answer:

• 25 inches

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The longest straight line is the line connecting the two opposite corners.

This is a diagonal of the rectangle.

Use Pythagorean theorem to find the length of the diagonal, the hypotenuse of the triangle with legs 20 in and 15 in:

• $d = \sqrt{20^2+15^2} =\sqrt{400+225} =\sqrt{625} =25$

Hence the longest straight line is 25 in long.