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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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