The rectangle below has a total perimeter of 100 ft:

rectangle with width of 9

Which of the following equations can be used to determine the length of the longer side of the rectangle?

x + 9 = 100

2x + 18 = 100

9x = 100

81x = 100

B) 2x + 18 = 100

Step-by-step explanation:

Given: Perimeter = 100 feet and width = 9 ft

We know that the perimeter of a rectangle = 2 (length + width)

Let "x" be the length of the rectangle.

Plugging in the given values in the above formula, we get

100 = 2 (x + 9)

On the right hand side, we can use the distributive property a (b + c) = ab + ac

and expand.

100 = 2x + 2*9

100 = 2x + 18

This is same as 2x + 18 = 100

Therefore, the answer is B) 2x + 18 = 100