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Here is a trapezium drawn on a centimetre grid - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 3

Question 4

Here is a trapezium drawn on a centimetre grid. On the grid, draw a triangle equal in area to this trapezium.

Worked Solution & Example Answer:Here is a trapezium drawn on a centimetre grid - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 3

Step 1

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Answer

To find the area of the trapezium, we can use the formula:

ext{Area} = rac{1}{2} imes (b_1 + b_2) imes h

Where:

Using measurements from the trapezium, calculate the area.

Step 2

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Answer

Let the area of the trapezium be represented as $A$ . To draw a triangle with an equal area, we can apply the triangle area formula:

ext{Area} = rac{1}{2} imes ext{base} imes ext{height}

Select an appropriate base and height such that:

rac{1}{2} imes ext{base} imes ext{height} = A

Draw the triangle on the grid ensuring the dimensions are clear.

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