Question

2 squares have sides p cm and (p+5)cms.The sum of their squares is 625sq.cm.The sides of the squares are​

Answer 1

Answer:

sides are 15 cm and 20 cm

Step-by-step explanation:

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

=> p^2 + p^2 + 25 + 10p = 625

=> 2p^2 + 10p - 600 = 0

=> 2(p^2 + 5p - 300) = 0

=> p^2 + 5p - 300 = 0

=> p^2 + 20p - 15p - 300 = 0 (middle term split)

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

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

=> either p + 20 = 0 or p - 15 = 0 ( zero product law)

=> either p = -20 or p = 15

but length cannot be negative ( side of a square cannot be negative)

=> p = 15

sides of the square are 15cm and 15+5 = 20cm