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4. Based on the information given in the diagram,
(a) find the area of the triangle. 6 cm t 8 cm
(b) find the value of t.
10 cm

5. In the diagram, PQRW is a square, RST is a triangle P Q
and TWVU is a trapezium. Find the area of the
whole diagram. U V 8 cm
3 cm W
T R
13 cm
12 cm 5 cm
S

6. In the diagram, QRU is an equilateral triangle, PQUV V T
and RSTU are two squares. Given the area of PQUV U
2
is 36 cm , find the perimeter of the whole diagram.
P S
Q R

7. The diagram shows a rhombus PQTU and a trapezium U T 5 cm S
QRST. PQR and UTS are straight lines. Given that the
2
area of the whole diagram is 46 cm ,
(a) find the height of the rhombus PQTU. P 5 cm Q 8 cm R
(b) hence, find the perimeter of the whole diagram.

8. In the diagram, PQRS is a parallelogram with an area S R
CHAPTER
of 100 cm . Find the area of triangle TQR.
2
10
P Q
T
9. You are given a piece of string of length 30 cm. Explain how you would form a
rectangle with the biggest area.

10. The diagram shows a rectangular plot of land with a 40 m
length of 40 m and a width of 20 m. You are required
to fence up a region on the land with an area of 450 m . 20 m
2
Explain how you would fence the land such that you use
the shortest fence. What would be the shortest length of
the fence required?

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Chapter 10

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