Value of x is 19 cm.
What is area of trapezium?
The area of a trapezium is defined as the number of unit squares that can fit into it . The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them. The formula to calculate the area (A) of a trapezium using base and height is given as,
A = ½ (a + b) h where,
a and b = bases of trapezium, and,
h = height (the perpendicular distance between a and b)
Given
Area of trapezium = 48 [tex]cm^{2}[/tex]
Area of trapezium = [tex]\frac{(AB+DC).h}{2}[/tex]
48 = [tex]\frac{(AB+DC).h}{2}[/tex]
⇒ 48 = [tex]\frac{(5+x).(4)}{2}[/tex]
⇒ 96 = (5+x).4
⇒ 5 + x = [tex]\frac{96}{4}[/tex]
⇒ 5 + x = 24
⇒ x = 24 - 5
⇒ x = 19 cm
Hence, Value of x is 19 cm.
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