Question

the area of a trapeziumis 900sq.cm.the dstance between the paralle sides is 24 cm. if one of the parallel sides is double the otherfind the length of the two parallel sides

Answer 1

Step-by-step explanation:

area of trapezium = 1/2 × h × (a + b)

where h = height

a and b are the parallel sides

area of trapezium = 900 cm²

distance between the two parallel sides = h = 24

let one side be x the other side will be 2x

$\frac{1}{2} \times 24(x + 2x) = 900 \\ 12(3x) = 900 \\ 36x = 900 \\ x = \frac{900}{36} \\ x = 25$

one parallel side = x = 25 cm

other parallel side = 2x = 2 × 25 = 50 cm

Hope you get your answer