Question

The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.

The deck is 8p meters wide.
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck. PLEASE HELP ASAP

Answer 1

a. 5p+3

b. 26p + 6

Explanation:

a.

Area = length × width

40p² + 24p = length × 8p

Factorise out 8p from both sides

8p(5p + 3) = length × 8p

Divide both sides by 8p

5p + 3 = length

b.

Perimeter = 2(length + width)

"" = 2(5p+3 + 8p)

"" = 2(13p + 3)

"" = 26p + 6