The length and width of a rectangle are both increased by 50%. Find the resulting percentage increase in area.

  • 0 votes

This is a question from SGC Common Entrance Examination without answers!

Posted Fri 8th June, 2012 @ 11:05 by girlyrainbow

2 Answers

  • 2 votes

Lets say the length is 3cm and the width is 2cm. So the area is 2 x 3 = 6cm squared.

If both sides are increased by 50% then the length is 4.5cm and the width is 3cm. 3 x 4.5= 13.5cm squared

13.5/6= 2.25

2.25*100 = 225.

13.5cm squared is 225% of 6cm squared.

This works with any number. Try it!

Answered Fri 8th June, 2012 @ 11:31 by Hoosierette
  • 1 vote

Thanks guys, I didn't know the theory works on all numbers.

Answered Sat 9th June, 2012 @ 14:53 by girlyrainbow
Edited by girlyrainbow on Sat 9th June, 2012 @ 14:54