The sides of the rectangle are 24cm and 15cm. How much will its area change if the length
September 25, 2021 | education
| The sides of the rectangle are 24cm and 15cm. How much will its area change if the length of each side is increased by 20%?
Find the starting area of the rectangle.
To do this, we multiply the indicated side lengths among ourselves.
We get:
24 * 15 = 360 cm2
In that case, if you increase each side by 20%, then it will be:
100% + 20% = 120% (of the initial length).
Thus, the length of the first side will be equal to:
24 * 120% / 100% = 24 * 1.2 = 28.8 cm.
The length of the second side will be:
15 * 120% / 100% = 15 * 1.2 = 18 cm.
Find the area of the new rectangle.
28.8 * 18 = 518.4 cm2
So the new area will be:
518.4 / 360 * 100% = 1.44 * 100% = 144% (from the initial).
It will change to:
144% – 100% = 44%.
Answer:
Increase by 44%.
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