Question

suppose the diagram below shows the floor plan of a room measuring 10 feet by 10 feet. there are two carpets in this room. the green carpet is 5 feet wide by 2 feet long, and therefore, it has an area of _. the blue carpet is 2 feet wide by 5 feet long. its area is _ the area of the green carpet.

Explanation:

Step1: Calculate green - carpet area

Use area formula $A = l\times w$, where $l = 2$ feet and $w = 5$ feet. So $A_{green}=2\times5 = 10$ square feet.

Step2: Calculate blue - carpet area

For blue carpet, $l = 5$ feet and $w = 2$ feet. Using $A = l\times w$, we get $A_{blue}=5\times2=10$ square feet.

Step3: Compare areas

Since $A_{green}=10$ square feet and $A_{blue}=10$ square feet, the area of the blue carpet is equal to the area of the green carpet.

Answer:

The green carpet has an area of 10 square feet. The area of the blue carpet is equal to the area of the green carpet.