How many percent will the area of the rectangle increase if the length is increased by 10% and the width is increased by 50%.

Let’s denote the sides of the rectangle by x and y.
The area of this rectangle is:
S1 = x * y = xy.
After enlarging, the sides of the rectangle became equal:
x + 10% = x * 1.1 = 1.1x.
y + 50% = y * 1.5 = 1.5y.
Find the area of the rectangle with the changed parameters:
S2 = 1.1x * 1.5y = 1.65xy.
We find the difference between the areas:
(S2 – S1) * 100 = (1.65xy – xy) * 100 = 0.65 * 100 = 65%.
Answer: the area will increase by 65%.