Question

Одна сторона прямоугольника в 2 раза меньше другой площадь 32 кв см найти стороны прямоугольника

Answer 1

Меньшая сторона равна 4 см
большая равна 8 см

Answer 2

16 и 8 см-стороны треугольника

Answer 3

Finding the Sides of a Rectangle

To find the sides of a rectangle when one side is two times smaller than the other and the area is 32 sq cm, we can use the following steps:

1. Let's denote the length of the longer side as a and the length of the shorter side as b. 2. We know that the area of a rectangle is given by the formula: Area = length * width or Area = a * b. 3. We also know that one side is two times smaller than the other, so we can express the length of the shorter side as b = a/2.

Calculating the Sides

Using the given area of 32 sq cm, we can calculate the sides of the rectangle:

1. Substitute the expression for b into the area formula: Area = a * (a/2). 2. Solve for a by setting the equation equal to 32: a * (a/2) = 32. 3. Simplify the equation and solve for a.

Let's calculate the sides of the rectangle using the given information.

Solution

Using the formula for the area of a rectangle and the given relationship between the sides, we can calculate the sides of the rectangle as follows:

Area = a * (a/2) = 32

Solving for a: a^2/2 = 32 a^2 = 64 a = √64 a = 8

So, the longer side (a) of the rectangle is 8 cm, and the shorter side (b) is 4 cm.

Therefore, the sides of the rectangle are 8 cm and 4 cm.

This calculation is based on the relationship between the sides of a rectangle and the given area, and it yields the sides of the rectangle as 8 cm and 4 cm.

I hope this helps! If you have any further questions, feel free to ask.