A high school has a rectangular parking lot that measures 600 ft. long by 400 ft. wide. The School Board wants to double the area of the lot by increasing both its length and width by the same amount, x ft.
The Board also wants to build a fence around the new lot. The cost to
expand the lot is estimated to be $2 per square foot of new space.
The cost to fence the lot is
estimated to be $30 per foot of fencing. Costs include materials and labor.
Draw a diagram of the situation. Your diagram should show both the original parking lot and what the lot will look like after it has been expanded. Label all dimensions.
Original Parking Lot:
Length = 600 ft
Width = 400 ft
Expanded Parking Lot:
Length = 600 + x ft
Width = 400 + x ft
Fence Cost = $30/ft
Cost to expand the lot = $2/sq ft
Diagram:
Original Parking Lot:
_______________600 ft______________
| |
| |
| | 400 ft
| |
|______________|_______|
Expanded Parking Lot:
______________________________600 + x ft_____________________________
| |
| |
| | 400 + x ft
| |
|____________________|___________|
______|
|
|_________|