SOLUTION: "find the side of a square whose area is equal to that of a rectangle with sides 32 and 18 centimeter"

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Question 761428: "find the side of a square whose area is equal to that of a rectangle with sides 32 and 18 centimeter"
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The equation for the area is A = L x W
Given lengths of 32cm and 18cm. Solve for the area.
A+=+32+%2A+18
highlight%28A+=+576%29
A square by definition, has four sides of equal length.
The equation for the area of a square can be written as A+=+L+%2A+L or A+=+L%5E2
Solve for L, using 576 for A
576+=+L%5E2
Take the square root of both sides
sqrt%28576%29+=+sqrt%28L%5E2%29
highlight_green%2824+=+L%29
The length of one side of the square is 24cm.