The area of a field in the shape of a trapezium measures 1440 m2 . The

1.	The area of a field in the shape of a trapezium measures 1440 m2 . The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3, what is the length of the longer parallel side ?
Answer» Let the parallel sides be 5x and 3x respectively. Then, \(\frac{1}{2}\times\) 24 x (5x + 3x) = 1440 ⇒ 8x = \(\frac{1440\times2}{24}\) ⇒ x = 15 m. ∴ The longer parallel side = 5 × 15 m = 75 m.

The area of a field in the shape of a trapezium measures 1440 m2 . The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3, what is the length of the longer parallel side ?

Answer»

Let the parallel sides be 5x and 3x respectively.

Then, \(\frac{1}{2}\times\) 24 x (5x + 3x) = 1440 ⇒ 8x = \(\frac{1440\times2}{24}\) ⇒ x = 15 m.

∴ The longer parallel side = 5 × 15 m = 75 m.