Question

I am having trouble. Help plz

Answer 1

Area is calculated by multiplying length by width.  Since we are given the width, we can test each length and see if the product matches the rectangle's area.

(2m - 3)(4m - 4)  =  8m² - 20m + 12  ≠  8m² + 4m - 12

(8m - 3)(4m - 4)  =  32m² - 44m + 12  ≠  8m² + 4m - 12

(2m + 3)(4m - 4)  =  8m² + 4m - 12

(8m + 3)(4m - 4) =  32m² + 20m - 12  ≠  8m² + 4m - 12

The length of the rectangle must be 2m + 3.  Another method of solving this would be to divide the area by the width, or 8m² + 4m - 12  ÷  4m - 4.