You are looking at two area rugs for your bedroom. One is a square with a side length of 6.3 feet. The other is a rectangle that is 4.8 feet by 8.2 feet. Which rug will cover the greater area? How much more area will it cover? Justify your response with mathematics.

The square rug. The area of the rug is 39.69 ft² and is 0.33 ft² bigger than the rectangle rug.

Step-by-step explanation:

The find the area of a square, you multiply the length or the width (they all have the same length in a square) by the width (or the length), which would be the same exact number. So in that case—

The square has a side length of 6.3. To find the area of the square, we simply multiply 6.3 · 6.3 =39.69.

So, the area of the square is 30.69 ft²

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To find the area of a rectangle, you have to multiply the width by the length. (Or vise versa) This is showed by the following formula.

L·W=A

Where L=length, W=width, and A=area.

If the length is 8.2 and the width is 4.8, we can do the multiplicant equation that follows.

8.2·4.8= 39.36 ft².

Now that we have the area of both figures, we can compare them.

The square rug— 39.69

The rectangular rug— 39.36

Of we subtract the areas

39.69 and 39.36, we get the answer that the square rug is bigger by 0.33 ft².

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