Area & Perimeter of Compound Shapes

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

Exercises

Work out the answers to the questions below and fill in the boxes. Click on the Click this button to see if you are correct 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 Click on this button to see the correct answer 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


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