math
posted by Nithin on .
(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

what's to explain? Write the facts in symbols:
p^2 + (p+5)^2 = 625
Now just solve for p and find p+5 
Sum of squares
= p²+(p+5)²
=625
Expand
p²+p²+10p+25=625
2p²+10p=600
p²+5p300=0
(p15)(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