Question

Exam: Final

7. The length of a rectangle is 2x - 3 and the width
is x + 1. Which of the following represents the
perimeter of the rectangle?
A. 2x²+x-3
B. 2x2 - x-3
c. 6x+4
D. 6x-4

Answer 1

D)

`6x - 4`

Explanation:

Perimeter of a rectangle = 2(length + width)

where,

Length = 2x - 3; width = x + 1

Thus,

`p = 2(2x - 3 + x + 1)`

Collect like terms in the bracket

`p = 2(2x + x - 3 + 1)`

`p = 2(3x - 2)`

Expand the bracket

`p = 6x - 4`

Answer 2

D. 6x-4

Explanation:

Since the perimeter of rectangle is;

2 [length + width]

length = (2x - 3)

width = (x + 1)

2 [(2x - 3) + (x + 1)]

4x - 6 + 2x + 2

6x - 4