ABCF is a rectangle CDEF is a trapezium AE is a straight line AB=9cm AE=11cm and DE=5cm The perimeter of the rectangle ABCF is 28cm Calculate the area of trapezium CDEF
Answers
Answer :
Are of trapezium is 24cm²
Step-by-step explanation:
Given,
The Perimeter of rectangle ABCF = 20 cm
One of the sides AB = 6 cm (AB)(Let it be L)
Let the other side of Rectangle be B.
We know that Perimeter of Rectangle = 2 (Length + Breadth)
So,
20 = 2(L+B) = 2(6 + B)
⇒ = 6+B
⇒ 10 = 6+B
⇒ B = 10-6
⇒ B = 4 cm
Breadth of Rectangle, B = 4 cm (BC)
Length of side of trapezium, CD = BD - BC = 9 - 4 = 5 cm
And length of EF = 3 cm
Now, Sides, AB and EC act as Perpendicular for Trapezium CDEF (Sides of Rectangle are perpendicular to each other)
We know that,
Area of Trapezium = ½ × (sum of parallel sides )×height
= ½×(CD + EF)× CF
= ½×(5+3)×6
= 8/2 ×6
= 4×6
= 24 cm²
Answer:
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