A field is in the form of a trapezium. Its area is 1586 m2 and the distance between its parallel sides is 26 m. If one of the parallel sides is 84 m, find the other.
Given
Let length of parallel sides be 84cm and y cm
Area of trapezium= 1586 cm2
Let Height (h) =26 cm
We know that area of trapezium is × (sum of parallel sides) × height
Therefore Area of trapezium is × (84 +y) × 26 =1586 cm2.
× (84 +y) × 26 =1586
⇒(84 + y) × 13 =1586
⇒ 84 + y =
⇒ y =122— 84 = 38
... Length of the other parallel side is 38 cm.