Question

You are working as an apprentice for the bksb Newcastle Arena.

An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating area as shown in the plan view below..



Use the following formulae:



Perimeter of a rectangle = 2l + 2w



Circumference of a circle = πd



π = 3.14



Area of a rectangle = lw



Area of a circle = πr²





What is the total perimeter of the pitch and seating area?

m



What is the total area of the pitch and seating area?



m2

Answer 1

To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.

To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.

Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.

Perimeter:

C= 3.14 x 20 m
C = 62.8 meters

62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter

Area:
A = 25 x 8
A = 200 square meters

A = 10 x 8
A = 80 square meters

A = 20 x 40
A = 800 square meters

A = 3.14 x 10^2
A = 314 square meters

Total Area: 314 + 800 + 80 + 200= 1394 square meters