Question

The figure below shows a rectangular parking lot.

(a) Use the calculator to find the perimeter and area of the parking lot. Make sure to include the correct units.
Perimeter:
Area:

(b) The lot will be paved.
Which measure would be used in finding the amount of pavement needed?
Perimeter
Area
(c) A chain will surround the lot.
Which measure would be used in finding the amount of chain needed?
Perimeter
Area

Answer 1

(a)

Perimeter = 2W + 2L

2(83) + 2(69) = 166 + 138 = 304

Area = W * L

83 * 69 = 5,727

(b)

You'd use area to figure out the amount of pavement needed because it allows for an accurate calculation of the amount required for complete coverage.

(c)

You would use perimeter to find out how much chain is needed because it represents the total length of the boundary, allowing for an accurate estimation of the length of chain required to enclose the area.

Answer 2

(a)Perimeter: 304 yards

Area: 5767 square yards

(b) The measure used in finding the amount of pavement needed is area.

(c) The measure used in finding the amount of chain needed is perimeter.

Answer (a)

The perimeter of a rectangle is the sum of the lengths of all four sides. The length of the parking lot is 83 yards, and the width is 69 yards. Therefore, the perimeter of the parking lot is:

Perimeter = 83 yards + 69 yards + 83 yards + 69 yards

= 304 yards

The area of a rectangle is the product of the length and the width. Therefore, the area of the parking lot is:

Area = 83 yards * 69 yards

= 5767 square yards

Therefore, the answers to (a) are:

Perimeter:304 yards

Area: 5767 square yards

Answer (b)

The amount of pavement needed to cover the parking lot is equal to the area of the parking lot. Therefore, the measure that would be used in finding the amount of pavement needed is area.

Answer (c)

The amount of chain needed to surround the parking lot is equal to the perimeter of the parking lot. Therefore, the measure that would be used in finding the amount of chain needed is perimeter.