Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what could be the dimensions of the rug?

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus,

Thus, the length of the rug is

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

Solving the expression using the quadratic formula,

Substituting the values, we have,

Thus,

 and  

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting in , we get,

Thus, the length of the rug is 4 ft.

the first one, all those points on the line just make a strait line.