Answer:
2x² + 32x + 22
Explanation:
Given parameters:
Length = (x-1)
Width = (x + 3)
height = 7
Unknown:
Express the surface area in terms of polynomial = ?
Solution:
The surface area of a rectangular prism is expressed as;
Surface area = 2(lw + lh + wh )
Insert the parameters:
Surface area = 2 [(x-1)(x + 3)+ (x - 1)(7) + 7(x+3)]
Surface area = 2[x²+ 3x -x -3 + 7x - 7 + 7x + 21]
Surface area = 2(x²+ 3x-x+7x+ 7x - 3 - 7+ 21)
Surface area = 2(x²+ 16x + 11)
Surface area = 2x² + 32x + 22