In a trapezium, the parallel sides measure 40 cm and 20 cm. Calculate the area of the trapezium if its non-parallel sides are equal having the lengths of 26 cm.
Answers
area of trapezium =1/2 ×(sum of parallel sides )×hieght
so , 1/2(20+40)×26
=1/2×60×26
=780cm^2
Thanks bro
Answer:
720 cm²
Step-by-step explanation:
area of trapezium :
draw perpendicular from the smaller parallel side to longer parallel side.
therefore,there are three shapes formed
1 rectangle, 2 right angled triangle(with base 10 cm each and hypotension 26 cm)
therfore the area of trapezoid is total area of all these shapes
Area of two right angled triangles :
first we have to find the height by Pythagoras theorem
base² + height² = hypotenuse²
10² + height² = 26²
height² = 676-100
height² = 576
height = 24 cm
the area of triangle = 1/2 × base × height
= 1/2 × 24 × 10
= 120 cm²
Area of rectangle :
length × breadth
breadth = 20cm
length = height of the triangle = 24
area = 20 × 24
= 480 cm²
the total area of 2 triangles and 1 rectangle:
2× 120 + 480
240 + 480
Area of the trapezium 720 cm²
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