SOLUTION: I need to solve this equation, how would I write it out? Find the exact answer and simplify it using the rules for radicals. Diagonal of a patio. Find the length of the diagona

Algebra ->  Equations -> SOLUTION: I need to solve this equation, how would I write it out? Find the exact answer and simplify it using the rules for radicals. Diagonal of a patio. Find the length of the diagona      Log On


   

Question 309015: I need to solve this equation, how would I write it out?
Find the exact answer and simplify it using the rules for radicals.
Diagonal of a patio. Find the length of the diagonal of a
square patio with an area of 40 square meters.


Answer by mollukutti(30) About Me  (Show Source):
You can put this solution on YOUR website!
Basic facts:
1. Area of a square = Side+%5E+2
2. Diagonal of a square = sqrt%282%2ASide%5E2%29
Let us take the length of each side of the square as x meters
Area of the square = 40 sq mt
Therefore x%5E2 = 40
Therefore length of the diagonal = sqrt%282%2Ax%5E2%29
= sqrt%282%2A40%29
= sqrt%2880%29
= 4%2Asqrt%285%29 mts