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15 votes
15 votes
The width of a rectangle is (3x + 1) in. The length of the rectangle istwice the width. Find the area of the rectangle in terms of the variable x

User Boris Zinchenko
by
2.4k points

1 Answer

20 votes
20 votes

width = 3x + 1

As the length of the rectangle is twice the width then you need to multiply the width of the rectangle by 2, as follows:

2(3x + 1 ) = 6x + 2

To find an area of a rectangle you then need to multiply the width by the length:

Area = (3x + 1)(6x + 2)

= 18x² + 6x + 6x + 2

= (18x² + 12x + 2) in²

User Arnold Balliu
by
3.1k points
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