Question

The length of a rectangle is 4.5 units longer than the width,w. Find the perimeter of the rectangle

Answer 1

Think about it. A rectangle has how many sides? Four? If the length is "x" and the width is "y", and we know what "x" is, and the width is 4.5 times that, we can determine what "y" is by doing what? In a rectangle, two sides are of equal length the other two sides are of equal length. So, we multiply the length by how many equal sides, and the width by how many equal sides? The perimeter is all four sides' dimensions added together. 2 * x plus 2 * y. Or add x twice and y twice, then add the two together. It will come out the same either way.

So, if the rectangle is one inch wide, it would be 4.5 inches long, right? It has two sides that are one inch, so that makes two inches. Two sides are 4.5 inches or a total of nine. The perimeter is the total of the distance of all four sides. What's the answer?

Answer 2

9+2w