Question

the area of trapezium is 180cm2 and its height is 9cm if one of the parallel side is 17 cm find the other parallel side​

Answer 1

Given

⇰ Area of trapezium = 180 cm²

⇰ Height of trapezium = 9 cm

⇰ Parallel side₁ = 17 cm

To find

⇰ Parallel side₂

Solution

➝ Area of trapezium = 1/2 (sum of parallel sides) (height)

➝ 180 = 1/2 (17 + x) (9)

➝ 360 = 153 + 9x

➝ 360 - 153 = 9x

➝ 207 = 9x

➝ x = 207/9

➝ x = 23

⇰ The other parallel side₂ = 23 cm

Verification

➝ Area = 1/2(p₁ + p₂) (h)

➝ 180 = 1/2(17 + 23) (9)

➝ 180 = 1/2(40) (9)

➝ 180 = 1/2(360)

➝ 180 = 360/2

➝ 180 = 180