Question

Area of trepezium 405 parallel side 4ratio5 distance between them 18cm find the length of each of the parallel side

Answer 1

Answer:

20 cm and 25 cm

Step-by-step explanation:

area of trapezium = 1/2 h (a + b) = 405 cm²

h is the distance between the two parallel sides = 18 cm

a and b are the two parallel sides

ratio of parallel sides = 4:5

$\frac{1}{2} \times h \times (a + b) = 405 \\ \frac{1}{2} \times 18 \times (4x + 5x) = 405 \\ 9 \times (4x + 5x) = 405 \\ 9x = \frac{405}{9} \\ 9x = 45 \\ x = \frac{45}{9} \\ x = 5$

the parallel side a = 4x = 4 × 5 = 20 cm

the parallel side b = 5x = 5 × 5 = 25 cm

hope you get your answer