Question

A rectangle has a length of (3x - 4) units and a width of (2x + 3) units,

What is the perimeter of the rectangle in terms of ?
A. (5x - 2) units
B. (5x + 14) units
C. (10x - 2) units
D. (10x + 14) units

Answer 1

C. (10x - 2) units

Explanation:

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

`P = 2(l + w)`

A rectangle has a length of (3x - 4) units and a width of (2x + 3) units.

This means that
`l = 3x - 4, w = 2x + 3`

What is the perimeter of the rectangle in terms of x?

`P = 2(l + w) = 2(3x - 4 + 2x + 3) = 2(5x - 1) = 10x - 2`

The correct answer is given by option C.