Here are the solutions to the questions:
Question 8:
The figure shows a shape composed of a rectangle and a quarter circle.
The perimeter is the sum of the lengths of its outer boundary.
The dimensions are:
- Top horizontal side = 7.5 m
- Right vertical side = 3 m
- Bottom horizontal side = 7.5 m
- The quarter circle has a radius of 3 m. The two straight sides of the quarter circle are internal to the shape and do not form part of the perimeter.
Step 1: Calculate the arc length of the quarter circle.
The formula for the circumference of a full circle is $C = 2\