A shape is composed of a rectangle and a quarter circle. Calculate its perimeter.

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 = $7.5 \text{ m}$
• Left vertical straight side = $3 \text{ m}$ (this is the radius of the quarter circle)
• Arc length of the quarter circle with radius $r = 3 \text{ m}$.

Step 1: Calculate the arc length of the quarter circle.
The formula for the circumference of a full circle