Find the length of a rectangle whose area is 34.3 cm2 and its width is 1/7 of the length.

We draw up an equation in which we write the length of the rectangle as x cm.

Since the width is 1/7 of the length, its value will be: 1/7 * x.

It is known that the area is the product of the width of the rectangle by its length, so we get the following equation:

x * 1/7 * x = 34.3 cm2

1/7 * x2 = 34.3.

x2 = 34.3 / 7 = 4.9.

√4.9 = 2.21 cm (rectangle width).

x = 2.21 * 7 = 15.5 cm (rectangle length).

Answer:

15.5 cm.