Question

What is the area of this rectangular plot ?
I. The perimeter of the plot is 208 metres.
II. The length is more than the breadth by 4 metres.

• A. If the data in statement I alone are sufficient to answer the question
• B. If the data in statement II alone are sufficient answer the question
• C. If the data either in I or II alone are sufficient to answer the question;
• D. If the data in both the statements together are needed.

Answer 1

The correct option is D If the data in both the statements together are needed.

The area of the plot can be determined from both I and II as follows

Let the breadth of the plot be x metres Then, length = ($x+4$) metres

Thus, perimeter = $208$ metres = $2(x+4+x)=208$

$4x=200,x=50$.

So. length = $54$ metres. breadth = $50$ metres.

Area of the plot $=50\times 54=2700m^2$.

Hence, both I and II are required.

option D