Question

Area and perimeter of polynomialsFind the area and perimeter of the closet with the given dimensions:

Answer 1

Area = (10y²-27y+5) square units

Perimeter = (14y-12) units

Explanation:

The dimensions of the closet are:

• 5y-1

,

• 2y-5

Area

`\begin{gathered} Area=Length* Width \\ =(5y-1)(2y-5) \\ =5y(2y-5)-1(2y-5) \\ =10y^2-25y-2y+5 \\ =10y^2-27y+5 \end{gathered}`

The area of the closet is (10y²-27y+5) square units.

Perimeter

`\begin{gathered} Perimeter=2(Length+Width) \\ =2(5y-1+2y-5) \\ =2(5y+2y-1-5) \\ =2(7y-6) \\ Perimeter=14y-12 \end{gathered}`

The perimeter of the closet is (14y-12) units.