A large square carpet is initially x inches long and x inches wide. Randy decides to trim 4 inches off each edge of the carpet because the edges are worn. Later he goes back and trims 6 more inches off each edge.

(a) Express the final area (A) of the carpet in square inches (after both trim jobs) as a polynomial function of x

Respuesta :

(x - 10) × 2
You have to multiply it by 2 so that you get the area.

Answer:

A = x² - 40x + 400

Step-by-step explanation:

A large square carpet has the sides measuring x inches.

Randy decides to trim 4 inches off from each edge.

Since there are 4 edges of the carpet therefore 8 inches will be trimmed off from each dimension.

New edges of the carpet will be (x - 8) inches.

Later he trims off 6 inches more from each edge.

Therefore, each dimension will be trimmed off by 12 inches again and the new dimensions will become (x - 8 - 12) = (x - 20) inches each.

a). Area of the square carpet with new dimensions will be A = (Side)²

A = (x - 20)²

A = x² - 40x + 400