The length of the rectangle is 5 cm, the width is 4 cm. How will the area of the rectangle change if its length

| March 22, 2021 | education

The length of the rectangle is 5 cm, the width is 4 cm. How will the area of the rectangle change if its length is increased by 2 times, and its width by 3 times?

Find the area of ​​the original rectangle.

According to the condition of the problem, the length of this rectangle is 5 cm, and its width is 4 cm.

The area of ​​any rectangle is equal to the product of the length and width of this rectangle, therefore, the area S1 of this rectangle is:

S1 = 5 * 4 = 20 cm².

If the length of the original rectangle is increased by 2 times, and its width is increased by 3 times, then the lengths of the sides of the resulting rectangle will be equal:

5 * 2 = 10 cm

and

4 * 3 = 12 cm.

The area S2 of the resulting rectangle will be:

S2 = 10 * 12 = 120 cm².

Compared to the area of ​​the original rectangle, the area of ​​the resulting rectangle will increase by S2 / S1 = 120/20 = 6 times.

Answer: the area of ​​the rectangle will increase 6 times.



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