SOLUTION: Please help, A rectangle with diagnols 20cm has sides in the ratio 2:1. Find the: a) Perimeter b) Area Thank you :)

Question 931182: Please help,
A rectangle with diagnols 20cm has sides in the ratio 2:1. Find the: a) Perimeter b) Area
Thank you :)
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let x be a side then the sides are x, 2x and we have
x^2 + (2x)^2 = 20^2
x^2 + 4x^2 = 400
5x^2 = 400
x^2 = 80
x = square root (80) = 8.94427191 cm
2x = 17.88854382 cm
Perimeter = 2x + 4x = 6x = 6*8.94427191 = 53.66563146 cm
Area = x * 2x = 2x^2 = 2*(8.94427191)^2 = 160 cm^2
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