Question

the area of traoezium is 384 m squre . its parallel sides are in ratio 3 ratio 5 and the distance between them is 12 cm . find the length of each parallel side

Answer 1

Let the sides be 3x and 5x

ATQ
384=half *sum of parallel sides *height
384=half*(3x+5x)*12
384=8x*6
384=48x
384/48=x
X=8

Sides are 3x=24cm
5x=40cm


Please mark this answer as brainliest please!!!!!

Answer 2

$\frac{1}{2} \times (3x + 5x) \times 12 = 384 \\ \frac{1}{2} \times 8x \times 12 = 384 \\ 4x \times 12 = 384 \\ 4x = \frac{384}{12} \\ 4x = 32 \\ x = \frac{32}{4} \\ x = 8 \\ length \: of \: parallel \: sides = 3x \\ 3 \times 8 \\ 24cm \\ \: \: \: \: \: \: \: \: \: \: \: \: 5x \\ 5 \times 8 \\ 40cm$