Question

The length of a rectangle is halved, and its breadth is tripled. What is the percentage change in its area?

• A. 50% increase
• B. 75% decrease
• C. 50% decrease
• D. 25% increase

Answer 1

Answer:

A. 50% increase

1. Set up the initial scenario:

• Let the original length of the rectangle be 'l' and the original breadth be 'b'.

• Original area = l * b

2. Calculate the new dimensions:

• New length = l/2

• New breadth = 3b

3. Calculate the new area:

• New area = (l/2) (3b) = (3/2) l * b

4. Calculate the change in area:

• Change in area = New area - Original area = (3/2)lb - lb = (1/2)lb

5. Calculate the percentage change in area:

• Percentage change = (Change in area / Original area) * 100

• Percentage change = [(1/2)lb / lb] * 100 = 50%

Therefore, the area of the rectangle increases by 50%.