Question

PLEASE HELP !!!!!!

If the blueprint is drawn on the coordinate plane with vertices (1, 5) and (11, 15) for the corners labeled with red stars, would that be an accurate representation of the length of the diagonal of the square C? Show your work and explain your reasoning. (4 points—2 points for finding the length of the diagonal; 2 points for explanation)

Answer 1

50 with 2 squared

Explanation:

Answer 2

`50√(2) feet`

Explanation:

Given the vertices (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

Using the Distance Formula:

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

`(x_1,y_1)=(1, 5) \:and\: (x_2,y_2)=(11, 15)`

`Distance=√((11-1)^2+(15-5)^2)\\=√(10^2+10^2)\\=√(200)\\=10√(2)`

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

`=5*10√(2) \\=50√(2) \:feet`