SOLUTION: How many different rectangles can you construct with integer side lengths and having an area of 64 square feet?

Algebra ->  Rectangles -> SOLUTION: How many different rectangles can you construct with integer side lengths and having an area of 64 square feet?      Log On


   



Question 921089: How many different rectangles can you construct with integer side lengths and having an area of 64 square feet?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

find all factors of 64:
{1, 2, 4, 8, 16, 32, 64}
an area of 64 square feet you can get if you use:
sides length:
1. 1 and 64
2. 2 and 32
3. 4 and 16
4. 8 and 8......this is a square, and rectangle is a square when both pairs of opposite sides are the same length. This means that a square is a specialized case of the rectangle and is indeed a rectangle