Question

Найдите площадь прямоугольника если его периметр равен 36 и одна сторона на 3 больше другой​

Answer 1

Ответ:

s(ABCD)=78.75

Объяснение:

36÷2= 18-3= 15÷2= 7.5

AB= 7.5

AC=7.5 +3= 10.5

S(ABCD)=7.5×10.5= 78.75

Answer 2

Calculating the Area of a Rectangle with Given Perimeter and Side Lengths

To find the area of a rectangle when its perimeter is 36 and one side is 3 units longer than the other, we can use the following approach:

1. Identify the Perimeter Formula for a Rectangle: The perimeter of a rectangle can be calculated using the formula: \[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \]

2. Use the Given Information to Form Equations: Let's denote the shorter side as \( x \) and the longer side as \( x + 3 \). We can then form the equation: \[ 2 \times (x + (x + 3)) = 36 \]

3. Solve for the Length and Width: Solving the equation will give us the values of \( x \) and \( x + 3 \), which represent the lengths of the sides.

4. Calculate the Area: Once we have the lengths of the sides, we can use the formula for the area of a rectangle: \[ \text{Area} = \text{Length} \times \text{Width} \]

Let's proceed with solving the equation to find the lengths of the sides and then calculate the area.

Solving for the Length and Width

Using the given perimeter equation: \[ 2 \times (x + (x + 3)) = 36 \]

Solving for \( x \): \[ 2 \times (2x + 3) = 36 \] \[ 4x + 6 = 36 \] \[ 4x = 30 \] \[ x = 7.5 \]

So, the shorter side \( x \) is 7.5 units, and the longer side \( x + 3 \) is 10.5 units.

Calculating the Area

Using the formula for the area of a rectangle: \[ \text{Area} = \text{Length} \times \text{Width} \] \[ \text{Area} = 7.5 \times 10.5 \] \[ \text{Area} = 78.75 \]

The area of the rectangle is 78.75 square units.