The perimeter of a rectangle is 24, and its diagonal is √74. Find its dimensions and area.

1 answer

x+y = 12
x^2+y^2 = 74

(x+y)^2 = x^2+y^2 + 2xy = 144
74+2xy=144
2xy=70
xy=35
35 = 7*5

So, the rectangle is 7x5