In the given figure, the area of the unshaded region is 35% of the area of the shaded field. What is the value of x?
Answer & explanation
Correct answer: option 2
Shaded : Unshaded = Complete (rectangle)
100 : 35 = 135
Here,
Area of Shaded part ⇒ 100R = 80 × 50 = 4000
⇒ 1R = 40
Therefore,
Area of complete rectangle ⇒ 135R = 135 × 40 = 5400
⇒ (80 + x) (50 + x) = 5400
⇒ x2 + 130x + 4000 = 5400
⇒ x (x+ 130) = 5400 - 4000
⇒ x (x+ 130) = 1400
Check from the option: x = 10 satisfy the equation.
Therefore, value of x = 10.