The area of a trapezium is 480 cm2, the distance between two parallel sides is 15 cm and one of the parallel side is 20 cm. Find the other parallel side
Answers
Answer:
Given :-
Area of trapezium = 480 cm²
Distance between two parallel sides is 15cm. Means height of trapezium is 15cm.
One parallel side = 20 cm.
To find :- Other parallel sides.
\sf\blue{SolutioN:-}SolutioN:−
⇒We know that,
Area \: of \: trapezium \: = \frac{a + b}{2} \times hAreaoftrapezium=
2
a+b
×h
In which 'a' and 'b' are parallel sides and 'h' is height of trapezium or we can say distance between parallel sides.
So, According to question
⇒480 = 20 + b /2 × 15
⇒480 × 2 = 20 + b × 15
⇒960 = 20 + b× 15
⇒960/15 = 20 + b
⇒64 = 20 + b
⇒64 - 20 = b
⇒44 = b
Hence , Other parallel side is 44 cm.
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More information:-
Trapezium is a closed figure.
It consists of four sides.
In which 2 sides are parallel.
And two opposite sides are equal but not parallel.
Perimeter of trapezium is A + B + C+ D. In which A , B ,C and D are sides of trapezium.
Area of trapezium is a + b/2×h. In which A and B are parallel sides of trapezium and H is distance between parallel sides
Area of trapezium = ½ h (a+b)
a=20cm, h = 15cm, Area = 480 sq.cm
480 = ½ (15) (20+b)
20+b = (480 x 2)/15
20+b=64
b=44cm