Question

write an algebraic expression in simplest form for the perimeter of a rectangle with side lengths (-3x + 1) and (2x - 5)

Answer 1

-2x - 8

Explanation:

Perimeter = 2*(length + width)

= 2* (-3x + 1 + 2x - 5)

= 2* (-3x + 2x + 1 - 5)

Combine like terms. (-3x and 2x are like terms ; 1 and (-5) are like terms

= 2* (-x -4)

Use distributive property: a*(b+c) = a*b +a*c

= 2*(-x) - 4 *2

= -2x - 8