Question

The area of trapezium is 100 cm square and it's height is 8cm.Find the lengths of the two parallel sides if one side is longer than the other by 5cm

Answer 1

Answer:

The lengths of the parallel sides of the trapezium are 2.5cm and 7.5cm  

Step-by-step explanation:

Given,

h = 8cm

a = x

b = x + 5

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

100 = 1/2 × 8 ( x + x + 5 )

100 = 4 ( 2x + 5)

100/4 = 2x + 5

25 = 2x + 5

2x = 25/5

2x = 5

x = 5/2

x = 2.5cm

Other side of the trapezium

x + 5 = 2.5 + 5

⇒ 7.5cm