Question : The ratio of the length to the width of a rectangle is 3 : 2. If the length of this rectangle is increased by 25% and its width is kept constant, then the area of the rectangle increases by 24 m2. What is the width of this rectangle?
Option 1: 12 m
Option 2: 10 m
Option 3: 8 m
Option 4: 15 m
Correct Answer: 8 m
Solution :
Given,
The ratio of the length to the width of a rectangle is 3 : 2. If the length of this rectangle is increased by 25% and its width is kept constant, then the area of the rectangle increases by 24 m
2
.
We know,
Area of rectangle = length × width
Let the width of the rectangle be
⇒ The length is
Now, the length is increased by 25%,
So, the new length is
And the area is
According to the question,
⇒
⇒
⇒
⇒
⇒
Hence, the correct answer is 8 m.
