Multiple choice

If the ratio of the areas of two squares is 9 : 25 and the sum of their areas is 306 sq. metres, then find the difference between their sides.

  1. 2 m

  2. 6 m

  3. 7 m

  4. 5 m

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let area of the 1st square = 9x sq.m and area of the 2nd square = 25x sq.m. So, 9x + 25x = 306 x = 9 Then area of the 1st square = 81 sq.metres Area of the 2nd square = 225 sq.metres So, side of the first square = 9 m and second square = 15 m. Now, differences between sides = 15 - 9 = 6.