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%.
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