The width of the rectangle is 44 cm. How much the area of this rectangle will decrease if its length is reduced by 5 cm.

The area of the rectangle is:

S = a * b,

where a is the length of the rectangle, b is the width of the rectangle.

The area of a rectangle with a length a and a width of 44 cm is equal to:

S₀ = 44 * a (cm²).

The area of a rectangle with a length (a – 5) and a width of 44 cm is:

S₁ = 44 * (a – 5) (cm²).

To find out how much the area S₁ is less than the area S₀, it is necessary to subtract the area S₁ from the area S₀:

S₀ – S₁ = 44 * a – 44 * (a – 5) = 44 * a – 44 * a + 44 * 5 = 220 (cm²).

Answer: if the length of the rectangle is reduced by 5 cm, then its area will decrease by 220 cm².

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