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A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%. The ratio of the area of the rectangle to that of the square is ?

User Vkelman
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1 Answer

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Answer:

The ratio of the area of the rectangle to the area of the square is 0.75.

Explanation:

The areas of the square and the rectangle are represented by following formulas:


A_(sq) = l^(2) (1)


A_(re) = (1.5\cdot l)\cdot (0.5\cdot l) (2)

Where
l is the side length of the square.

The ratio of the area of the rectangle to the area of the square is:


(A_(re))/(A_(sq)) = ((1.5\cdot l)\cdot (0.5\cdot l))/(l^(2))


(A_(re))/(A_(sq)) = 0.75

The ratio of the area of the rectangle to the area of the square is 0.75.

User DrTyrsa
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