Synthesis: Find a polynomial for the shaded area of each figure. 21t+8 is on top of the outer box and 4t is on the left side of the outer box. On the inter box there is 3t-4 and 2t on the left side of the inter box. the area between the outer box and the inter box is shaded. I am having trouble with this problem and can't quite get it right.

Question

Synthesis:  Find a polynomial for the shaded area of each figure. 21t+8 is on top of the outer box and 4t is on the left side of the outer box.  On the inter box there is 3t-4 and 2t on the left side of the inter box.  the area between the outer box and the inter box is shaded.  I am having trouble with this problem and can't quite get it right.

Steve · Answer

(21t+8)(4t) - (3t-4)(2t) = 78t^2 + 40t