# The length of the rectangle is 10 m, and the width is 5 m. By what percentage will the area

**The length of the rectangle is 10 m, and the width is 5 m. By what percentage will the area of the rectangle increase if its sides are increased by 10%?**

The formula for determining the area of a rectangle looks like this:

S = a * b.

Find the area of the rectangle.

S = 10 * 5 = 50 m2.

Find 1% of the length of the rectangle.

10: 100 = 0.1 m.

Find 10% of the length of the rectangle.

0.1 * 10 = 1 m.

Find 110% of the length of the rectangle.

10 + 1 = 11 m.

Find 1% of the width of the rectangle.

5: 100 = 0.05 m.

Find 10% of the width of the rectangle.

0.05 * 10 = 0.5 m.

Find 110% of the rectangle’s width.

5 + 0.5 = 5.5 m.

Let’s find the area of a rectangle with its sides increased by 10%.

S = 11 * 5.5 = 60.5 m2.

Find 1% of the previous area of the rectangle.

50: 100 = 0.5 m2.

Let’s find the percentage of the increased area of the rectangle from the old one.

60.5: 0.5 = 121%

Let’s find by what percentage the enlarged area of the rectangle will be larger than the old one.

121 – 100 = 21%.

Answer: The area of the rectangle will increase by 21%.