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.
Answers
Perimeter implies the total length of sides of a given figure. Thus the length AD = 4.75 cm.
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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