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JSS1: MATHEMATICS - 2ND TERM

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  1. Algebraic Processes | Week 1
    4 Topics
    |
    1 Quiz
  2. Simplification of Algebraic Expressions | Week 2
    4 Topics
    |
    1 Quiz
  3. Simplification of Algebraic Expressions 2 (Use of Brackets) | Week 3
    4 Topics
    |
    1 Quiz
  4. Simple Equations | Week 4
    1 Topic
    |
    1 Quiz
  5. Simple Equations II | Week 5
    3 Topics
    |
    1 Quiz
  6. Plane Shapes I | Week 6
    5 Topics
    |
    2 Quizzes
  7. Plane Shapes II | Week 7
    7 Topics
    |
    1 Quiz
  8. Plane Shapes III | Week 8
    7 Topics
    |
    1 Quiz
  9. Decimal and Percentages I | Week 9
    2 Topics
    |
    1 Quiz
  10. Decimal and Percentages | Week 10
    3 Topics
    |
    1 Quiz



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Perimeter of a trapezium

 A trapezium is a four-sided figure with one pair of parallel sides.

Isosceles Trapezium

An isosceles trapezium has one pair of opposite sides parallel and the non-parallel sides are equal in length.

Isosceles Trapezium

Perimeter  =   x  + y   +  x  +  z

= x  +  x   +  y  +   z

= 2x   +   y   +  z 

Example:

An isosceles trapezium has a perimeter of 48cm. If the sizes of the unequal parallel sides are 10cm and 6cm. Calculate the size of one of the equal sides.

trapezium question

Solution

Perimeter of a Trapezium = 2x   +   y   +  z 

Perimeter =  48cm

x = ?
y = 10cm
z = 6cm

Substitute the values into the equation

48 = 2x + 6 + 10

48 = 2x + 16

move the unknown, x, to the left hand side

2x + 16 = 48

subtract both sides by 16

2x + 16 – 16 = 48 – 16

2x = 32

divide both sides by 2

\( \frac{2x}{2} = \frac{32}{2} \)

\( \frac{\not{2}x}{\not{2}} = \frac{32}{2} \)

x = \( \frac{32}{2} \)

x = 16 cm

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