Question

известно, что длина прямоугольника в 3 раза больше его ширины, а ширина - на 16 см меньше его длины. Чему равен периметр и площадь такого прямоугольника

Answer 1

3х - х = 16

2х = 16

х= 16:2

х= 8. 

Ширина - 8см.

Длина ( 3*8) - 24 см.

ПЕриметр- ( 8+24) *2 = 64 см.

Площадь - 8*24= 192 см в квадрате.

Ответ: S= 192 см в квадрате, P= 64 см.

Answer 2

Problem Analysis

We are given that the length of a rectangle is 3 times its width, and the width is 16 cm less than its length. We need to find the perimeter and area of this rectangle.

Solution

Let's assume that the width of the rectangle is w cm. According to the given information, the length of the rectangle is 3 times its width, so the length would be 3w cm. Additionally, we know that the width is 16 cm less than the length, so we can write the following equation:

3w - w = 16

Simplifying the equation, we get:

2w = 16

Solving for w, we find that the width of the rectangle is 8 cm.

Now, we can calculate the length of the rectangle by multiplying the width by 3:

Length = 3w = 3 * 8 = 24 cm

Perimeter

The perimeter of a rectangle is the sum of all its sides. In this case, the rectangle has two sides of length w and two sides of length 3w. Therefore, the perimeter (P) can be calculated as:

P = 2w + 2(3w)

Substituting the values of w and 3w, we get:

P = 2(8) + 2(24) = 16 + 48 = 64 cm

So, the perimeter of the rectangle is 64 cm.

Area

The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 24 cm and the width is 8 cm. Therefore, the area (A) can be calculated as:

A = length * width = 24 * 8 = 192 cm^2

So, the area of the rectangle is 192 cm^2.

Conclusion

The perimeter of the rectangle is 64 cm and the area is 192 cm^2.