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

1 Answer

6 votes

Answer:


L=4√(15)\ m

or


L=15.49\ m

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=√(240)\ m

simplify


L=4√(15)\ m

or


L=15.49\ m

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