Only For -:
▪︎Moderators
▪︎ Brainly Stars
▪︎ Aryabhatta
▪︎ The Sage
Others Best Users ●
______________________
The length of the parallel sides of a trapezium are in the ratio 4:5 and the distance between them is 26 cm . If the area of the trapezium is 468 cm² , find the lengths of its parallel sides.
Answers
✡ Question ✡
➡ The parallel sides of a trapezium are in the ratio 4:5. If the distance between the parallel sides is 6 cm and the area is 81 cm sq, find the lengths of the parallel sides of the trapezium.
✡ Given ✡
➡ The parallel sides of a trapezium are in the ratio 4:5.
➡The distance between the parallel sides is 6 cm and the area is 81 cm².
✡ To Find ✡
➡ The lengths of the parallel sides of the trapezium.
✡ Formula Used ✡
▶Area of trapezium = × (sum of parallel sides) × height
✡ Solution ✡
➡Let the parallel sides of the trapezium be 4x and 5x cm respectively.
Distance between the parallel sides = Height of the trapezium.
Then,
✴Height of the trapezium = 6 cm.
According to the question:-
=> × (4x + 5x) × 6 = 81
=> (4x + 5x) × 3 = 81
=> 9x × 3 = 81
=> 9x =
=> 9x = 27
=> x =
=> x = 3
∴ Length of the parallel sides of the trapezium,
4 × 3 = 12cm
5 × 3 = 15 cm
HOPE IT HELP YOU
Eva*
Step-by-step explanation:
hope it will help you
please mark me as brainiest
