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?
Answers
To solve this problem, you would use the formula for perimeter of a rectangle:
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
The width is 10 feet and the length is 20 feet.
Good luck
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Answer:
4(x + 33)
Step-by-step explanation:
(x + 60) + (x + 6) + (x + 60) + (x + 6)
(4x + 132)
4(x + 33)
(x + 60) + (x + 6) + (x + 60) + (x + 6)
Which expression is equivalent to the expression for the perimeter of the larger driveway?
A) 2(x + 66)
B) 4x + 33
C) 4(x + 33)
D) 4(x + 132)