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working out area of semi circle combined with a trapezium

I am having diffuclty workiing out this question

the diagram shows a shape made from a trapezium ABD and a semi circle with a diameter DC DC= 8cm the shape has area 64cm2
the height of the trapezium is 5 cm work out the length of AB

the problem lies with the area of a trapezium as i am only given the height

Reply 1

GabiAbi84

Can you upload a picture of the diagram?

Reply 2

Osman4456

Original post by GabiAbi84

Can you upload a picture of the diagram?

Reply 3

ALostPingu

Original post by Osman4456

think about the formula of a trapezium. It requires 3 bits of information and you are already given 2

Reply 4

simon0

You are given the total area of the shape.

You know the formula for the area of a semi-circle and for a trapezium.
Can you add the two formulas together to obtain the length of side AB at all?