The length of the rectangle is 95 cm. How much will the area of the rectangle decrease if its width is reduced by 4 cm.

We find the area of the rectangle by the formula S = a * b, where a is the length of the rectangle, b is its width.

a = 95 cm.

Find the area of the rectangle before it shrinks.

S = 95 * b.

The width has been reduced by 4 cm, so the width of the new rectangle is (b – 4) cm.

Let’s find the area of the new rectangle.

S = 95 * (b – 4).

Let’s find the difference between the two areas.

95 * b – 95 * (b – 4) = 95b – 95b + 380 = 380 (cm ^ 2).

Answer: the area will decrease by 380 cm ^ 2.