Question

Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be the length of his path to the nearest tenth of a foot? 21.5 ft 25.0 ft 32.6 ft 37.7 ft

Answer 1

Answer:d

Explanation:

Answer 2

Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.

Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:

`{a}^(2) + {b}^(2) = {c}^(2)`
Plug the numbers in to find c, the length of your path! So

`\sqrt{{32}^(2) + {20}^(2)} = 37.7`