Question

In the given figure, AB || EF. If AB = 24 cm, EF = 36 cm and DA = 7 cm, then AE equals

विकल्प

• 2.5 cm

• 10.5 cm

• 3.5 cm

• `14/3` cm

Answer 1

3.5 cm

Explanation:

Given: AB = 24, EF = 36, DA = 7.

Let AE = x.

Then DE = DA + AE = 7 + x.

`7/(7 + x) = 24/36`

`7/(7 + x) = 2/3`

21 = 2(7 + x)

21 = 14 + 2x

2x = 21 – 14

2x = 7

`x = 7/2`

x = 3.5 cm

The length of AE is 3.5 cm.