©TeeJay Publishers
General Homework for Book 3G
Areas
Ch 14 - Areas
Homework
Chapter 14
Exercise 1
1.
Write down the areas (in cm2) of each of the following shapes :–
(a)
= 1 cm2
2.
(b)
(c)
(d)
(e)
Find the shaded area in each of these :(a)
3.
(b)
Write down the areas of these two shapes :(a)
this is Chapter Fourteen
(b)
page 79
©TeeJay Publishers
4.
General Homework for Book 3G
Ch 14 - Areas
Estimate the area of this shape
as carefully as you can in cm2.
DO NOT
MARK THIS
SHAPE
Exercise 2
1.
Calculate the area of each of the following rectangles.
(in each case, make a small “sketch” of the rectangle,
write down the rule “A = l
(a)
x
b” and calculate the area in cm2 ).
(b)
(c)
6 cm
5cm
10 cm
13 cm
8 cm
7 cm
(d)
(e)
20 cm
(f)
10 cm
9 cm
40 cm
10 cm
7 cm
2.
Calculate the area of carpet needed for each of these ballrooms :(a)
(b)
(c)
17 m
20 m
24 m
this is Chapter Fourteen
25 m
20 m
35 m
page 80
©TeeJay Publishers
General Homework for Book 3G
Ch 14 - Areas
Exercise 2E (a)
1.
Make a neat sketch of this parallelogram.
7 cm
Use the formula, A = b x h,
to calculate its area. (in cm2)
2.
12 cm
Make a small neat sketch of each parallelogram here and calculate each area :–
(Does NOT have to be full size)
(a)
(b)
15 cm
7 cm
18 cm
9 cm
(c)
(d)
20 mm
3·5 cm
4 cm
15 mm
(e)
(f)
0·9 cm
3.
The sign on the side of
this van is in the shape
of a parallelogram.
8m
2·0 cm
50 m
0·8 m
Calculate the area of
the sign.
this is Chapter Fourteen
TEEJAY
PUBLISHERS
2·4 m
page 81
©TeeJay Publishers
4.
General Homework for Book 3G
(a) Which has the bigger area,
the square or the
parallelogram ?
Ch 14 - Areas
7 cm
8 cm
(b) By how much ?
9 cm
8 cm
5.
The AREA of this parallelogram is 84 cm2.
h=?
Calculate what its height must be.
12 cm
Exercise 2E (b)
1.
(a) Make a small neat sketch of this rhombus.
(b) Draw in the (dotted) surrounding rectangle.
6 cm
(c) Calculate the area of the rectangle.
(d) Now calculate the area of the rhombus.
2.
12 cm
Make a neat sketch of each rhombus here, showing the surrounding rectangle.
Calculate the area of the rectangle, then the area of the rhombus :–
(a)
5 cm
(b)
11 cm
(c)
8 mm
15 mm
this is Chapter Fourteen
page 82
1·2 cm
2·5 cm
©TeeJay Publishers
3.
General Homework for Book 3G
Ch 14 - Areas
(a) Make an accurate drawing
of this kite using a ruler.
2·5 cm
(b) Calculate the area of the
surrounding rectangle.
(c) Now calculate the area
of the kite.
2·5 cm
6 cm
4.
2 cm
Make a neat sketch of each kite here, showing the surrounding rectangle.
Calculate the area of the rectangle, then the area of the kite :–
(a)
(b)
(c)
20 mm
12 cm
6·4 cm
10 cm
7 cm
5.
12 mm
By how much is the area of the rhombus bigger than that of the kite ?
8 cm
10 cm
20 cm
this is Chapter Fourteen
15 cm
page 83
©TeeJay Publishers
General Homework for Book 3G
Ch 14 - Areas
Exercise 3
1.
2.
(a)
Make an accurate drawing of
this right angled triangle.
(b)
Complete the figure by drawing
the surrounding rectangle.
(c)
Calculate the area of the rectangle.
(d)
Now write down the area of the triangle.
4 cm
For the following right angled triangles :–
(i)
make a small neat sketch
(ii) draw the surrounding rectangle
(iii) find the area of the rectangle
(a)
(iv) calculate the area of the triangle
(b)
6 cm
6 cm
(c)
4 cm
6 cm
11 cm
10 cm
3.
5 cm
Sketch each right angled triangle (roughly, but using a ruler).
Use the formula, A =
1
2
(l x b) to calculate the area each time.
20 cm
(a)
(b)
10 cm
13 cm
7 cm
(c)
9 cm
(d)
16 cm
24 cm
7 cm
4.
This corner shelf is in the shape of a right angled triangle.
32 cm
Calculate the area
of the triangle.
20 cm
this is Chapter Fourteen
page 84
©TeeJay Publishers
General Homework for Book 3G
Ch 14 - Areas
Exercise 4
1.
4 cm
(a)
Make an accurate drawing of this triangle.
(b)
Draw the surrounding rectangle.
(c)
Calculate the area of the rectangle.
(d)
Now write down the area of the triangle.
5 cm
2.
Use the formula
Area =
1
2
(l x b)
each time to calculate the areas of the
following triangles (make a neat sketch of each triangle) :–
(a)
(b)
(c)
cm
6 cm
13
20 cm
14 cm
16 cm
12 cm
(d)
(e)
(f)
7·5 cm
14 cm
8 cm
14 cm
3.
7 cm
9 cm
Which of the two sails from the yacht
has the bigger area and by how much is
it bigger than the other one ?
5m
Sail A
7m
Sail B
4m
4.
3m
Calculate the shaded area of this triangle.
6 mm
11 m m
this is Chapter Fourteen
page 85
©TeeJay Publishers
General Homework for Book 3G
Ch 14 - Areas
Exercise 5
1.
(a) Calculate the area of the big rectangle (A).
(b) Calculate the area of the small rectangle (B).
(c) Calculate the total area of the shape.
8 cm
7 cm
B
A
7 cm
2.
3 cm
For each of these :–
(i)
Make a neat sketch.
(ii)
Calculate the area of each part (show working).
(iii) Calculate the area of the whole shape.
(a)
(b)
12 cm
(c)
25 cm
7 cm
25 cm
20 cm
5 cm
6 cm
15 cm
15 cm
5 cm
9 cm
(d)
8 cm
(e)
6m
4 cm
20 m
10 cm
30 m
12 cm
this is Chapter Fourteen
page 86
©TeeJay Publishers
General Homework for Book 3G
Ch 14 - Areas
Exercise 6E
1.
10 cm
(a) Make a neat sketch of this trapezium.
(it does not need to be accurate).
Y
8 cm
(b) Draw in the diagonal line (dotted).
X
(c) Calculate the area of ΔX and ΔY.
(d) Calculate the overall area of the trapezium.
2.
15 cm
Make a neat sketch of each of the following trapezia (plural of trapezium) and
calculate the area of each :–
(a)
10 mm
(b)
15 cm
9 mm
12 cm
18 cm
12 mm
(c)
7·4 cm
6·2 cm
5 cm
3.
6 cm
3 cm
Calculate the area of this shape
by splitting it into three shapes,
a rectangle and two trapezia.
10 cm
8 cm
3 cm
6 cm
this is Chapter Fourteen
page 87