The area of trapezium is 268 cm² and its height is 8 cm .If one of the parallel sides is longer than the other by 6 cm, find the length of each of the parallel sides.
Answers
Answer:
The area of a trapezium is 168 cm² and its height is 8 cm. If one of the parallel sides is longer than the other by 6
cm. find the length of each of the parallel sides
question :-
→ The area of trapezium is 168 cm² and it's height is 8 cm. If one of the parallel side is longer than other by 6 cm. Find the length of each of the parallel sides.
Solution :-
Let one parallel side be ' x ' cm then, other will be ' x + 6 ' cm.
Area of trapezium = 1/2 ( sum of parallel sides ) × height
1/2 ( x + x + 6 ) × 8 = 168
⇒ ( 2x + 6 ) × 4 = 168
⇒ 2x + 6 = 168/4
⇒ 2x + 6 = 42
⇒ 2x = 42 - 6
⇒ 2x = 36
⇒ x= 36/2
∴ x = 18
Now,
other will be 18 + 6 = 24 cm
Answer: one of the parallel side is 18cm and other will be 24 cm.
Verification:-
21 ( 18 + 24 ) × 8 = 168
⇒ 1/2 ( 42 ) × 8 = 168
⇒ 42 × 4 = 168
⇒ 168 cm² = 168 cm²
L.H.S = R.H.S