The diagram shows a trapezium.
B
D
Diagram NOT accurately drawn
AD = x cm.
BC is the same length as AD.
AB is twice the length of AD.
DC is 4 cm longer than AB.
The perimeter of the trapezium is 38 cm.
Work out the length of AD.

A plane figure is any type of figure bounded by four straight sides. Examples are square, rectangle, trapezium, rhombus, etc. A trapezium is a type of plane figure which belongs to a family referred to as quadrilaterals.

The perimeter of a given shape is the sum of the length of its boundaries or sides.

Thus the length AD required in the question can be determined by:

AD = x cm

BC = x cm

AB = 2x cm

DC = 4x cm

Perimeter = AD + BC + AB + DC

= x + x + 2x + 4x

Perimeter = 8x

But the perimeter of the trapezium has been given as 38 cm.

Thus,

38 = 8x

x = [tex]\frac{38}{8}[/tex]

= 4.75

Therefore, the length of AD is 4.75 cm.

For more clarifications on the perimeter of a given shape, visit: https://brainly.com/question/12263031

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The diagram shows a trapezium. B D Diagram NOT accurately drawn AD = x cm. BC is the same length as AD. AB is twice the length of AD. DC is 4 cm longer than AB. The perimeter of the trapezium is 38 cm. Work out the length of AD.

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The diagram shows a trapezium.
B
D
Diagram NOT accurately drawn
AD = x cm.
BC is the same length as AD.
AB is twice the length of AD.
DC is 4 cm longer than AB.
The perimeter of the trapezium is 38 cm.
Work out the length of AD.