In a trapezium if the distance between parrellel sides is 5cm and lengths of parallel sides are 6cm and 8cm respectively find its the area of trapezium.
Answers
Answer:
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Hint: In this question, we need to evaluate the area of the trapezium such that the parallel sides of trapezium are 6 cm and 8 cm. For this, we will use the relation between area, length of the parallel sides and length between the parallel sides.
Complete step-by-step answer:
Given the length of the parallel sides of trapezium
L1=6cm
and L2=8cm
The distance between the parallel sides D=4cm
Let us first draw a trapezium from the above given data
Now we already know the formula for the area of the trapezium which is equal to the product of the sum of parallel sides and distance between them multiplied by half as 12×(sum of parallel sides)×(distnace between parallel sides)
Area=12×(6+8)×4=12×(14)×4=7×4=28cm2
Hence, the area of trapezoid whose parallel sides are 6cm and 8cm and the distance between them is 4 cm is =28cm2