Question:
The difference between the two parallel sides of a trapezium is 4 cm. the perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.
A ) 27 cm and 23 cm.
B ) 26 cm and 24 cm.
C ) 29 cm and 21 cm.
D ) 25 cm and 25 cm.
Answer: A) 27 cm and 23 cm
Explanation:
Let the two parallel sides of the trapezium be a cm and b cm.
Then, a – b = 4
And, (1/2) *(a + b) * 19 = 475
=> (a + b) =((475 * 2)/19)
=> a + b = 50
Solving (i) and (ii), we get: a = 27, b = 23.
So, the two parallel sides are 27 cm and 23 cm
The difference between the two parallel sides of a trapezium is 4 cm. the perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.
A ) 27 cm and 23 cm.
B ) 26 cm and 24 cm.
C ) 29 cm and 21 cm.
D ) 25 cm and 25 cm.
Answer: A) 27 cm and 23 cm
Explanation:
Let the two parallel sides of the trapezium be a cm and b cm.
Then, a – b = 4
And, (1/2) *(a + b) * 19 = 475
=> (a + b) =((475 * 2)/19)
=> a + b = 50
Solving (i) and (ii), we get: a = 27, b = 23.
So, the two parallel sides are 27 cm and 23 cm
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