https://file.aiquickdraw.com/mathbot/file/1726293804800ne2qpqwd.jpg

In the image you uploaded, we have a geometrical shape that resembles a combination of basic shapes: a rectangle, a quarter circle, and a triangle.

### Here's a step-by-step approach to solve the given questions:

### a) Measure and record dimensions (using a ruler)
1. Measure the **length** of the rectangular part.
2. Measure the **width** of the rectangular part.
3. Measure the **radius** of the quarter-circle (which is part of the shape).
4. Measure the **height** and **base** of the triangular part.
  
You will need a ruler to measure the dimensions from the diagram. Once you have those, write down the dimensions.

### b) Calculate the perimeter
The perimeter would be the sum of all the outer boundaries of the shape. Since this shape is composed of a rectangle, a quarter-circle, and a triangle, we can calculate the perimeter as follows:
- **Rectangle**: Add two sides.
- **Quarter-circle**: The curved part of the quarter circle will be \(\frac{1}{4} \times 2\pi \times \text{radius}\).
- **Triangle**: Add the sides (if possible, use Pythagoras theorem for the slanted side if needed).

### c) Calculate the area
The total area will be the sum of the areas of:
- **Rectangle**: \( \text{length} \times \text{width} \).
- **Quarter-circle**: \( \frac{1}{4} \pi r^2 \).
- **Triangle**: \( \frac{1}{2} \times \text{base} \times \text{height} \).

Once you have these, sum up all the areas to find the total area of the shape.

Could you measure the dimensions using a ruler? Then we can proceed with calculations. Let me know if you'd like more guidance with the measurements!

Use the shape below to answer the following questions:

a) Use a ruler and by calculation, to measure the dimensions of the shape above to the nearest mm. Show dimensions on the diagram.
b) Use your dimensions to calculate the perimeter of the shape.
c) Use your dimensions to calculate the area of the shape above, to 2 decimal places.

Learn how to measure the dimensions, calculate the perimeter, and find the area of a composite geometrical shape involving a rectangle, quarter circle, and triangle. Follow a step-by-step guide to solve this problem with key geometric formulas. Suitable for Grades 6-8.

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