# The length of the rectangle is 32 cm. How many square centimeters the area of the rectangle

July 29, 2021 | education

| **The length of the rectangle is 32 cm. How many square centimeters the area of the rectangle has decreased. if its width is reduced by 5cm.**

1. It is known that the area of a rectangle is equal to the product of its length and width.

2. Let’s denote the width of the first rectangle by X cm.

H. Let’s write an expression for finding the area of a rectangle.

32 cm * X cm.

4. Let’s write an expression for the area of a rectangle if its width is reduced by 5 cm.

32 cm * (X – 5) cm.

5. Let’s compare how much the area will decrease.

32 cm * X cm – 32 cm * (X cm – 5 cm) = 32 cm * X cm – 32 cm * X cm + 32 cm * 5 cm =

32 cm * 5 cm = 160 cm ^ 2.

Answer: The area of the rectangle will decrease by 160 cm ^ 2.

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