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kenny6666 [7]
3 years ago
14

If a pool is 4 m wide and 16 m diagonally across, how long is the pool? (Pyth. Theorem)

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Answer:

L=4\sqrt{15}\ m

or

L=15.49\ m

Step-by-step explanation:

we know that

Applying the Pythagorean Theorem in the rectangular pool

d^2=L^2+W^2

where

d is the diagonal of the pool

L is the length of the pool

W is the wide of the pool

we have

d=16\ m\\W=4\ m

substitute the given values

16^2=L^2+4^2

solve for L

L^2=16^2-4^2\\L^2=240\\L=\sqrt{240}\ m

simplify

L=4\sqrt{15}\ m

or

L=15.49\ m

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