Question

Длина прямоугольника 24 см. на сколько увеличется площадь этого прямоугольника если его ширину увеличить на 4см.

Answer 1

S=a·b;
a=24см;⇒S=24b(см²;
b₁=b+4;⇒S₁=24·(b+4)=24b+24·4=S+96;
S₁-S=96(см²)

Answer 2

Calculating the Increase in Area of a Rectangle

To calculate the increase in the area of a rectangle when its width is increased by 4 cm, we can use the formula for the area of a rectangle:

Area = Length × Width

Given: - Length of the rectangle = 24 cm - Increase in width = 4 cm

We can calculate the initial area and the area after the increase in width.

Initial Area Calculation

The initial area of the rectangle can be calculated using the given length and width.

Initial Area = Length × Width Initial Area = 24 cm × (original width)

Area After Increase in Width

After increasing the width by 4 cm, the new width becomes (original width + 4).

New Area = Length × (Width + 4) New Area = 24 cm × (original width + 4)

Calculating the Increase in Area

To find the increase in area, we can subtract the initial area from the new area.

Increase in Area = New Area - Initial Area Increase in Area = (24 cm × (original width + 4)) - (24 cm × original width)

Let's calculate the increase in area using the given values.

Calculation

Initial Area = 24 cm × (original width) New Area = 24 cm × (original width + 4) Increase in Area = (24 cm × (original width + 4)) - (24 cm × original width)

Using the given values, we can calculate the increase in area of the rectangle when its width is increased by 4 cm.

Increase in Area = (24 cm × (original width + 4)) - (24 cm × original width)

The increase in area can be calculated using the above formula.

Let's proceed with the calculation.