Question

The model of a college campus is shown.



Complete the statements about the actual perimeter and area of the college campus. Use the scale 1 inch = 15 meters for the calculations.

The perimeter of the campus is
meters. The area of the campus is
square meters.

Answer 1

To find the perimeter, we need to add up the lengths of all the sides.

Perimeter = (2.5 + 3.5 + 3 + 2 + 2.5 + 4 + 4 + 2 + 3.5 + 4 + 2.5 + 2 + 3 + 3.5) inches * 15 meters
Perimeter = 37.5 + 52.5 + 45 + 30 + 37.5 + 60 + 60 + 30 + 52.5 + 60 + 37.5 + 30 + 45 + 52.5 meters
Perimeter = 580 meters

Therefore, the perimeter of the campus is 580 meters.

To find the area, we need to calculate the area of each individual section and then add them up.

Area = [(3.5 * 2 * 15) + (3 * 4 * 15) + (3 * 4 * 15) + (4 * 2 * 15) + (2.5 * 2 * 15) + (2 * 4 * 15) + (2.5 * 2 * 15) + (3 * 3 * 15) + (3.5 * 4 * 15) + (2 * 2 * 15)] square meters
Area = (105 + 180 + 180 + 120 + 75 + 120 + 75 + 135 + 210 + 60) square meters
Area = 1050 square meters

Therefore, the area of the campus is 1050 square meters.