A shape is made up of a rectangle and a quarter circle. The dimensions are given. Calculate the perimeter of the shape.

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 = $7.5 \text{ m}$
• Right vertical side = $3 \text{ m}$
• Bottom horizontal side = $7.5 \text{ m}$
• The quarter circle has a radius of $3 \text{ m}$. 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\