Answer:
The sides are 12 cm and 16 cm long.
Step-by-step explanation:
x^2 + y^2 = 400 where a and y are the sides of the squares.
4x - 4y = 16 (The difference of the perimeters).
x - y = 4
x = 4 + y.
Substitute for x in the first equation:
(4 + y)^2 + y^2 = 400
16 + 8y + y^2 + y^2 = 400
2y^2 + 8y - 384 = 0
y^2 + 4y - 192
(y - 12)(y + 16) = 0
y = -16, 12 We ignore the negative root:
y = 12 .
and x = 4 + y = 16.
