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Topic Content:

  • Mensuration
ShapePerimeter Area
Rectangle
rect e1622467379500
Perimeter
= 2(l + b)
Area
= l × b
= lb
Parallelogram
parallelgram e1622468673751
Perimeter
= 2(a + b)
Area
= b × h
= ab sinθ
Trapezium
trap ss1 e1622469923306
Perimeter
= a + b + c + l
Area
= \( \frac{1}{2} \scriptsize (a + b) \: \times \: h\)
Triangle
TRIANGU e1622469972594
Perimeter
= a + b + c
Area
= \( \frac{1}{2} \scriptsize \: \times \:b \: \times \: h \)

Area = \( \frac{1}{2} \scriptsize ab \: Sin C \)

Area = \( \frac{1}{2} \scriptsize ac \: Sin B \)

Area = \( \frac{1}{2} \scriptsize bc \: Sin A \)
Square
square ss1 e1622470022703
Perimeter
= 4d
Area
= \( \scriptsize d^2 \)
Circle
circl ss1 e1622470070794
Perimeter
= \( \scriptsize 2\pi r = \pi d \)
Area
= \( \scriptsize \pi r^2 \)

Example 6.1.1:

The diagram below shows the altitudes \( \scriptsize \overline{QT} \: and \: \overline{PM} \: of \: \Delta PQR \)

If |QR| = 8 cm, |PR| = 7 cm and |QT| = 4 cm, what is |PM|? (WAEC)

mensuration Ex
Figure 6.1.1

Solution:

There are two different triangles with different heights and their areas are equal.

 

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