# math

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(please give brief explanation to this sentence > two squares have sides p cm and (p+5) cms)

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 -

what's to explain? Write the facts in symbols:

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

Now just solve for p and find p+5

• math -

Sum 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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