Question

The width of a rectangle measures (3.1s-1.6)(3.1s−1.6) centimeters, and its length measures (7.2s-4.6)(7.2s−4.6) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. −6.2+10.3s B. −12.4+20.6s C. 1.5s+2.6 D. 5.2+3s

Answer 1

Answer:

B) -12.4 + 20.6s

Step-by-step explanation:

width = (3.1s - 1.6) cm

Length = (7.2s - 4.6) cm

Perimeter of rectangle = 2* (length +width)

                                      = 2 *(7.2s - 4.6 + 3.1s - 1.6)    {add like terms}

                                      = 2* (7.2s + 3.1s - 4.6 - 1.6)

                                      = 2*( 10.3s - 6.2)   {distributive property}

                                      = 2*10.3s - 2*6.2

                                      = 20.6s - 12.4