Here’s the answer,there you go
<span>Which trinomial is a perfect square trinomial?
A) a^2 - 12a + 36
B) a^2 - 8a + 64
C) a^2 - 6a + 36
D) a^2 - 4a + 64</span>
C. Divide both sides by 4
The area of a shape is the amount of space it can occupy.
<em>The number of isosceles triangle in the grid is: </em>
<em />
The dimension of the grid is given as:
![\mathbf{Dimension = x\ by\ x}](https://tex.z-dn.net/?f=%5Cmathbf%7BDimension%20%3D%20x%5C%20by%5C%20x%7D)
Calculate the area
![\mathbf{A_1 = x\ \times \ x}](https://tex.z-dn.net/?f=%5Cmathbf%7BA_1%20%3D%20x%5C%20%5Ctimes%20%5C%20x%7D)
![\mathbf{A_1 = x^2}](https://tex.z-dn.net/?f=%5Cmathbf%7BA_1%20%3D%20x%5E2%7D)
The area of each isosceles triangle is given as:
![\mathbf{A_2 = \frac 12u^2}](https://tex.z-dn.net/?f=%5Cmathbf%7BA_2%20%3D%20%5Cfrac%2012u%5E2%7D)
The number (n) of the triangle in an x-by-x grid is:
![\mathbf{n = A_1 \div A_2}](https://tex.z-dn.net/?f=%5Cmathbf%7Bn%20%3D%20A_1%20%5Cdiv%20A_2%7D)
So, we have:
![\mathbf{n = x^2 \div \frac 12u^2}](https://tex.z-dn.net/?f=%5Cmathbf%7Bn%20%3D%20x%5E2%20%5Cdiv%20%5Cfrac%2012u%5E2%7D)
Express as products
![\mathbf{n = x^2 \times \frac{2}{u^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bn%20%3D%20x%5E2%20%5Ctimes%20%5Cfrac%7B2%7D%7Bu%5E2%7D%7D)
![\mathbf{n = \frac{2x^2}{u^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bn%20%3D%20%5Cfrac%7B2x%5E2%7D%7Bu%5E2%7D%7D)
Hence, the number of isosceles triangle in the grid is: ![\mathbf{\frac{2x^2}{u^2}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B2x%5E2%7D%7Bu%5E2%7D%7D)
Read more about areas at:
brainly.com/question/16418397