The area of a trapezium is 1080 cm2. If the lengths of its parallel si

1.	The area of a trapezium is 1080 cm2. If the lengths of its parallel sides be 55 cm and 35 cm, find the distance between them.
Answer» Given Length of parallel sides is 55cm and 35 cm Area of trapezium= 1080 cm² Let Height (h) = y cm We know that area of trapezium is \(\frac{1}{2}\)× (sum of parallel sides) × height Therefore Area of trapezium is \(\frac{1}{2}\)× (55 + 35) × y =1080 cm². \(\therefore \frac{1}{2}\)× (90) × y =1080 ⇒ 45 × y =1080 ⇒ y \(=\frac{1080}{22}=24\) ∴ Distance between the parallel lines is 24 cm.

The area of a trapezium is 1080 cm2. If the lengths of its parallel sides be 55 cm and 35 cm, find the distance between them.

Answer»

Given

Length of parallel sides is 55cm and 35 cm

Area of trapezium= 1080 cm²

Let Height (h) = y cm

We know that area of trapezium is \(\frac{1}{2}\)× (sum of parallel sides) × height

Therefore Area of trapezium is \(\frac{1}{2}\)× (55 + 35) × y =1080 cm².

\(\therefore \frac{1}{2}\)× (90) × y =1080

⇒ 45 × y =1080

⇒ y \(=\frac{1080}{22}=24\)

∴ Distance between the parallel lines is 24 cm.