the area of trapezium is 120 CM square and the distance between its parallel sides is 8 cm find the length of the parallel sides if their difference is 6 centimetre
Answers
Answer: The length of the parallel sides = 18 cm and 12 cm
Step-by-step explanation:
Area of trapezium = 120 cm²
Distance between the parallel sides = 8
Let the length of parallel sides be x and y
We know,
Area of trapezium = 1/2 × sum of parallel sides × distance between parallel
sides (height)
=> 120 = 1/2 × (x+y) × 8
=> 120 × 2 = (x + y) × 8
=> 240 = (x+y) × 8
=> 240/8 = x+y
=> 30 = x+y .........1
Given,
Difference between the parallel sides is 6 , therefore,
x-y = 6 ..........2
Subtracting...
x+y = 30
+ x-y = 6
__________
= 2x = 36
=> x = 36/2 = 18
=> x = 18
x - y = 6
=> 18 - y = 6
=> y = 18 - 6
=> y = 12
Step-by-step explanation:
THE PARALLEL SIDES OF THE TRAPEZIUM ARE 12cm AND 18 cm!
