The length of the rectangle is 4 times its width. The area of the rectangle is 100m2. Find the length and width of the rectangle.

A rectangle is a rectangle with equal opposite sides and right angles.

Its area (numerical characteristic of a two-dimensional geometric figure) is calculated by the formula:

S = a * b.

Find the sides of the rectangle, provided that its S = 100 cm², and the length is 4 times the width, using the equation:

x * 4x = 100. On the left side of the equation we perform actions with the variable, we get:

4x² = 100. To find the second factor, divide the product by the first:

x² = 100: 4 = 25. This is the square value of the width, in order to find it, we execute:

x = √25 = 5.

Therefore, the width of such a figure is 5 cm, and the length is 4 * 5 = 20 cm.