Question

In a trapezium, length of one side is thrice the other parallel one. If area of trapezlium is
48 sq. cm. and height is 3.2 cm, find the length of the two parallel sides?​

Answer 1

Step-by-step explanation:

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

a and b are the parallel sides of trapezium

h is the height

one side is thrice the other

a = x then b = 3x

area of trapezium = 48 cm²

$48 = \frac{1}{2} \times 3.2 \times (x + 3x) \\ 48 = \frac{1}{2} \times 3.2 \times (4x) \\ 48 = 1.6 \times 4x \\ x = \frac{48}{1.6 \times 4} \\ x = \frac{12}{1.6} \\ x = 7.5$

a = x = 7.5 cm

b = 3x = 3 × 7.5 = 22.5 cm

Hope you get your answer