In a rectangle, the width is 6 cm less than the length, and the length is 1.4 times the width.

In a rectangle, the width is 6 cm less than the length, and the length is 1.4 times the width. what is the length of the rectangle?

Let’s make a diagram:

length = x + 6; in 1.4 p. greater than width

width = x

Let’s make the equation:

x + 6 / x = 1.4

x + 6 / x = 14/10

(x + 6) 10 = 14x

10x + 60 = 14x

10x-14x = -60

-4x = -60

x = -60 / -4

x = 60/4

x = 15

So the width is 15 cm.

Knowing the width, you can find the length:

15 + 6 = 21 (cm) -the length of the rectangle.

Answer: the length of the rectangle is 21 cm