Question

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 rectangle that is 4.8 feet by 8.2 feet. Which rug will cover the greater area? How much more area will it cover. Explain

Answer 1

Part a) The square rug cover the greater area

Part b) The square rug cover 0.33 square feet more than the rectangular rug

Explanation:

step 1

Find the area of the square rug

The area of a square is

`A=b^2`

where

b is the length of the square

we have

`b=6.3\ ft`

substitute

`A=(6.3)^2=39.69\ ft^2`

step 2

Find the area of the rectangular rug

The area of the rectangle is

`A=LW`

we have

`L=4.8\ ft\\W=8.2\ ft`

substitute

`A=4.8(8.2)=39.36\ ft^2`

step 3

Compare the areas

`39.69 > 39.36`

so

The square rug cover the greater area

step 4

Find the difference

`39.69-39.36=0.33\ ft^2`

so

The square rug cover 0.33 square feet more than the rectangular rug