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Mensuration (Class VIII)
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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.
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A
6 m
💡 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.