Question

The width of a rectangle measures (4.8n + 7.5p) centimeters, and its length measures (3.9n – 4.5p) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?A. 6+17.4nB. 6p+17.4nC.-9p+17.4n+7.5D. 8.7n+3

Answer 1

Perimeter of a rectangle = 2 side width + 2 side lenght

Replacing with the values given:

P = 2 (4.8n+7.5p)+2(3.9n-4.5p)

Appliyng distributive property:

P = 2(4.8n)+ 2(7.5p)+2(3.9n)-2(4.5p)

P = 9.6n+15p+7.8n-9p

Adding alike terms:

P = 9.6n+7.8n+15p-9p

P = 17.4n+6p

P = 6p+17.4n

Correct option:

6p+17.4n