119k views
5 votes
Find the area of the shaded region

Find the area of the shaded region-example-1
User Datoraki
by
8.0k points

1 Answer

6 votes

Answer:

15x² - 64x + 64

Explanation:

To find the area of shaded region, we will first find the area of the whole shape then subtract the area of the white region.

  • The area of a square is calculated by multiplying the one side with itself:

(4x-8)×(4x-8) = 16x² - 64x - 64 is the area of the whole shape

x*x = x²

  • Now subtract x² from the whole area

16x² - 64x - 64 - x² = 15x² - 64x - 64

User CharlesB
by
8.9k points