28.6k views
2 votes
The area of the rectangle to the right is 18x² - 6x, and its width is 6x. Find the length of the rectangle.​

User Mob
by
7.6k points

2 Answers

2 votes

Answer:

3x - 1

Explanation:

Area of the Rectangle:

18x^2 - 6x

6x (3x - 1)

Width = 6x

Length =?

Area of Rectangle = Length * Width

Length = Area/breadth

6x (3x -1) / 6x cross out 6x

Thus, Length of Rectangle = 3x - 1

User Brigadier
by
8.3k points
6 votes

Answer:

length = 3x - 1

Explanation:

Area of a rectangle = length x width

or using l = length, w = width and A = area

A = l x w

or

l = A/w

Given
A = 18x² - 6x
w = 6x

l = 18x²- 6x/6x

= 18x²/6x - 6x/6x

= 3x - 1

User Weber
by
7.8k points