# Unit 9 Section 4 : Area of Compound Shapes

In this section we look at ways of finding the area of shapes which are made up from other shapes.

## Example Question

Look at the shape below.

If we want to find the area of the shape, we can split it into rectangles, then add together the areas of the rectangles.
Click on the shape once to see it divided up with all measurements marked.

 Practice Questions Work out the answer to each of these questions then click on the button marked to see whether you are correct. Remember : click on the shape to see it divided up. (a) What is the area of rectangle A? (b) What is the area of rectangle B? (c) What is the area of rectangle C? (d) What is the total area of the shape?

## Exercises

Work out the answers to the questions below and fill in the boxes. Click on the button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on to see the answer.

Question 1
Find the area of these shapes. One square on the grid is 1 cm².

(a) cm²

(b) cm²

Question 2
Find the areas and perimeters of the shapes below.
The diagrams have not been drawn accurately, so you may find it helpful to sketch them on paper.

 (a) Area = cm² Perimeter = cm (b) Area = mm² Perimeter = mm (c) Area = cm² Perimeter = cm (d) Area = cm² Perimeter = cm (e) Area = mm² Perimeter = mm (f) Area = cm² Perimeter = cm

Question 3
Work out the shaded area in each of the diagrams below.
HINT: You may find it easiest to work out the area of the unshaded part and subtract it from the area of the outer rectangle.
 (a) cm²   (b) cm²   (c) cm²   (d) cm²

Question 4
Find the areas and perimeters of the shapes below.
The diagrams have not been drawn accurately, so you may find it helpful to sketch them on paper.

 (a) Area = cm² Perimeter = cm (b) Area = cm² Perimeter = cm

You have now completed Unit 9 Section 4
 Your overall score for this section is Correct Answers You answered questions correctly out of the questions in this section. Incorrect Answers There were questions where you used the Tell Me button. There were questions with wrong answers. There were questions you didn't attempt.
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