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Posted by **Nithin** on Tuesday, September 2, 2014 at 3:20pm.

two squares have sides p cm and (p+5) cms. the sum of theirs squares is 625 sq.cm. the sides of the squares are

- math -
**Steve**, Tuesday, September 2, 2014 at 3:36pmwhat's to explain? Write the facts in symbols:

p^2 + (p+5)^2 = 625

Now just solve for p and find p+5

- math -
**MathMate**, Tuesday, September 2, 2014 at 3:38pmSum of squares

= p²+(p+5)²

=625

Expand

p²+p²+10p+25=625

2p²+10p=600

p²+5p-300=0

(p-15)(p+20)=0

p=15 or p=-20, reject negative root

The sides of the squares are therefore:

p=15

p+5=15+5=20

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