1)
The formula for the area of a rectangle is:
A=l*w
Since we know both the length, 15, and the area, 150, we can solve for the width.
150=15*w
Divide both sides by 15
10=w
The width is 10ft
Answer= The Dimensions of the rug are 10ft by 15ft
2)
The formula for the area of a rectangle is:
A=l*w
To solve for this problem, we need to subtract the area of the rug, from the area of the room.
A(room)-A(rug)=A(remaining)
We still don't know the area of the entire room, so lets solve for that
A(room)=l*w
A(room)=25*20
A(room)=500sq ft
Now we can search for the remaining area...
A(room)-A(rug)=A(remaining)
500-150=
350 sqft
Answer=350 sqft