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

Question

garik1379 [7]

1 year ago

11

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

Mathematics

2 answers:

Phoenix [80] · Answer 1 · 2023-12-31T08:03:09+03:00

Phoenix [80]1 year ago

5 0

Answer:d

Step-by-step explanation:

riadik2000 [5.3K] · Answer 2 · 2023-12-31T06:02:26+03:00

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
$\sqrt{{32}^{2} + {20}^{2}} = 37.7$