SOLUTION: the diagonal of a rectangle is 18 cm long if the base is 9 square root of 3 cm find its width then find its perimeter.

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Question 1201736: the diagonal of a rectangle is 18 cm long if the base is 9 square root of 3 cm find its width then find its perimeter.
Answer by mananth(16946) About Me  (Show Source):
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the diagonal of a rectangle is 18 cm long if the base is 9 square root of 3 cm find its width then find its perimeter.

the diagonal of a rectangle is 18 cm
base is 9 square root of 3 cm
The disgonal and the sides form a right triangle
Apply Pythagoras theorem
let width be x cm
x%5E2%2B%289sqrt%283%29%29%5E2+=m18%5E2
x%5E2+%2B81%2A3=+18%5E2

x%5E2+=+324-243
x%5E2+=+81
x = 9 taking the positive
Perimeter = 2%2A9+%2B2%2A9sqrt%283%29
= 18%2B18sqrt%283%29
=18%281%2Bsqrt%283%29%29