The sides of the rectangle are 24cm and 15cm. How much will its area change if the length

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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