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mash [69]
2 years ago
9

A rectangular plot of land is 100 feet long and 50 feet wide. how long is the walkway along the diagonal? round to the nearest f

oot. a. 75 feet b. 87 feet c. 112 feet d. 150 feet please select the best answer from the choices provided a b c d
Mathematics
1 answer:
Savatey [412]2 years ago
3 0

Answer:

c. 112 ft

Step-by-step explanation:

the diagonal of a rectangle creates a right-angled triangle with a length and a width of the rectangle (the diagonal is the Hypotenuse or baseline).

and this means we can use Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle).

diagonal² = 100² + 50² = 10000 + 2500 = 12500

diagonal = sqrt(12500) = 111.8033989... ft ≈ 112 ft

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