How much area of rectangle will be changed in terms of the percent, if the length will be half and the width will be tripled?
Option:
A. 50% decreased
B. 15% increased
C. 33% increased
D. 50% increased
Answer: D . 50% increased
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Justification:
The length if the rectangle is = L.
The width if the rectangle is = W.
The area is = A.
=> A = L * W.
The new length if the rectangle is = l = L / 2.
The new width if the rectangle is = w = 3 * W.
The new Area of the rectangle is = a.
=> a = l * w = (L / 2) * (3 * W) = (3/2) * (L * W) = (3/2) * A.
The ratio inpercent = ((a-A) / A ) * 100% = (((3/2)*A-A)/A) * 100% = (3/2) * 100% = 50% increased.
