Question

the area of the field in the shape of trapezium measures 720 metre square the perpendicular distance between its parallel sides is 24 metre if the ratio of The parallel sides is 5 is to 3 the length of the longer parallel side is...​

Answer 1

given :-

area of the trapezium = 720m²

perpendicular distance between the parallel sides (height) = 24m

ratio between the parallel sides = 5 : 3

let the parallel sides (bases) be 5x and 3x respectively.

formula to find the area of a trapezium is 1/2 × h(b1 + b2)

where h is the perpendicular distance and b1 and b2 are the bases.

➡ 1/2 × 24(5x + 3x) = 720m²

➡ 12(8x) = 720m²

➡ 8x = 720/12

➡ 8x = 60

➡ x = 60/8

➡ x = 7.5

hence, the parallel sides are :-

• b1 = 5x = 5 × 7.5 = 37.5m

• b2 = 3x = 3 × 7.5 = 22.5m