Instructions

In each of the questions, a question is followed by two statements I and II. Give your answer

Question 149

Is the perimeter of the rectangular plot more than 65 cms?
I. Its length is less than 16 cm
II. Its breadth is more than 10 cm

Solution

Perimeter of rectangle is$$2(l+b)$$.

and we also know that length of rectangle is greater than its breadth.

if$$2(l+b)=65$$

means $$(l+b)=32.5$$

if $$l=15$$ then $$b=17.5$$

So, whatever the value length(less than 16) takes,value of breadth is greater than length,which violates the property of a rectangle.

So, statement I is derives that such rectangle can not be possible.

So, statement I is enough to prove.

But if breadth is greater than 10 ,it can take any value between 10 and 16.

So,we can't say anything about it's perimeter.

So,Option A is correct choice.


Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

cracku

Boost your Prep!

Download App