a mouse gathered 32 graph paper squares each one had a side of 1cm she used them to cover a floor it was a rectangle twice as long as wide what are the measurements of the sides
To find the measurements of the sides of the floor, we can work backwards from the information given.
The mouse gathered 32 graph paper squares, and each square had a side length of 1cm. This means the total area covered by the squares is 32 square cm.
Let's assume the width of the rectangle is "w" cm. Since the length is twice as long as the width, the length would be "2w" cm.
The area of a rectangle is given by the formula: Area = length * width.
So, in this case, the area of the rectangle would be: 32 square cm.
Therefore, we can set up the equation: 32 = 2w * w.
Simplifying the equation: 32 = 2w^2.
Divide both sides of the equation by 2: 16 = w^2.
Take the square root of both sides: √(16) = √(w^2).
Simplifying further: 4 = w.
So, the width of the rectangle is 4 cm.
Since the length is twice the width, the length would be 2 * 4 = 8 cm.
Hence, the measurements of the sides are: width = 4 cm and length = 8 cm.