Question

Одна зі сторін прямокутника дорівнює 16 см, а периметр 72 см. Знайти площу прямокутника.

Answer 1

72*16=1152
То есть S=1152 см

Answer 2

Problem Analysis

We are given that one side of a rectangle is 16 cm and the perimeter of the rectangle is 72 cm. We need to find the area of the rectangle.

Solution

To find the area of a rectangle, we need to know the lengths of both sides. However, we are only given the length of one side.

Let's assume that the length of the rectangle is 16 cm and the width is "w" cm. The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

Substituting the given values, we have:

72 = 2(16 + w)

Simplifying the equation, we get:

72 = 32 + 2w

Subtracting 32 from both sides, we have:

40 = 2w

Dividing both sides by 2, we get:

w = 20

Therefore, the width of the rectangle is 20 cm.

Now that we know the lengths of both sides of the rectangle, we can calculate the area using the formula:

Area = length x width

Substituting the values, we have:

Area = 16 cm x 20 cm = 320 cm²

Therefore, the area of the rectangle is 320 cm².

Answer

The area of the rectangle is 320 cm².