SOLUTION: Hi, I am having trouble figuring out the formula for this problem. How do I set it up to find the answer? Can you help me figure this out? Thank you. Find the length of the diag

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Hi, I am having trouble figuring out the formula for this problem. How do I set it up to find the answer? Can you help me figure this out? Thank you. Find the length of the diag      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 197040: Hi, I am having trouble figuring out the formula for this problem. How do I set it up to find the answer? Can you help me figure this out? Thank you.
Find the length of the diagonal of a square patio with an area of 40 square meters.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the diagonal of a square patio with an area of 40 square meters.
.
Two steps...
First, find the length of one side of the square.
Let x = length of side of square
then
x%5E2+=+40
x+=+sqrt%2840%29
x+=+sqrt%282%2A2%2A2%2A5%29
x+=+2sqrt%2810%29
.
Second, find diagonal using Pythagorean theorem:
Let d = diagonal
then
%282sqrt%2810%29%29%5E2+%2B+%282sqrt%2810%29%29%5E2+=+d%5E2
%284%2810%29%29+%2B+%284%2810%29%29+=+d%5E2
40+%2B+40+=+d%5E2
80+=+d%5E2
sqrt%2880%29+=+d
sqrt%284%2A4%2A5%29+=+d
4sqrt%285%29+=+d