The length of a particular rectangle is 4 greater than the width of the rectangle. if the perimeter of the rectangle is 16, what is the area of the rectangle?

So if we say the width is x, and the length is x+4, we know that 2(x+4) + 2x =16.

Open up the parenthesis with the distributive property, and you get 2x + 8 + 2x = 16.

Subtract 8 from both sides.

2x + 2x = 8

Or

4x = 8

/4 /4

x = 2

So therefore, since the width is x, then the width is 2. The length is x+4, or 6.

The area is length times width.

2×6 = 12

So the area of the rectangle is 12 square units.