Question

A driveway is 60-feet long by 6-feet wide. The length and width of the driveway will each be increased by the same number of feet. The following expression represents the perimeter of the larger driveway: (x + 60) + (x + 6) + (x + 60) + (x + 6) Which expression is equivalent to the expression for the perimeter of the larger driveway

Answer 1

The width is 10 feet and the length is 20 feet.

Explanation:

2 * l + 2 * w= P

where l = length, w = width, and P = perimeter. From the problem we know that the perimeter, P = 60 feet. The length of the rectangle can be related to the width of the rectangle by the formula l = 2*w since we are told the length is twice the width. We can substitute the values for perimeter and length that e have extrapolated from the problem into the formula for perimeter of a rectangle. The equation becomes:

2*2*w+2*w=60 feet

We can solve by simplifying the left side.

4*w+2*w=60 feet

6*w=60 feet

w=10 feet

Now, to solve for length, we can plug the value for width into the equation:

l =2*w

l = 2* 10 feet

l=20 feet

Answer 2

Answer: C) 4(x+33)

Explanation:

1. You know that the perimeter of the larger driveway is represented with the following expression given in the problem:

2. When you simplify it and add the like terms, you obtain:

3. Now, you can factor out

4. Therefore, you can write the expression as below: 4. So, you can conclude that the answer is the option C.