# The length of the rectangle is 5 cm and the width is 4 cm. How will the area of the rectangle change

**The length of the rectangle is 5 cm and the width is 4 cm. How will the area of the rectangle change if its length is doubled and its width is 3 times?**

1) Find the area of the rectangle by the formula S = ab, where a and b are the sides of the rectangle.

S1 = 5 * 4 = 20 (cm ^ 2)

2) Find the sides of a rectangle if its width increases by 2 times, and its width increases by 3 times. If more … times, then you need to multiply.

a = 5 * 2 = 10 (cm)

b = 4 * 3 = 12 (cm)

3) Find the area of the rectangle with the changed values of the length and width.

S2 = 10 * 12 = 120 (cm ^ 2)

4) Let us find how many times the area has increased when changing its length and width.

S2 / S1 = 120/20 = 6 (times)

Conclusion: If the length and width increase 2 and 3 times, respectively, then the area will increase 2 * 3 = 6 times.

Answer. The area will be 6 times larger.