Answer:
A = x² - 40x + 400
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