Question

PLEASE HELP !!!!!!

Answer 1

Answer:

$50\sqrt{2} feet$

Step-by-step 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:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

$Distance=\sqrt{(11-1)^2+(15-5)^2}\\=\sqrt{10^2+10^2}\\=\sqrt{200}\\=10\sqrt{2}$

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

$=5*10\sqrt{2} \\=50\sqrt{2} \:feet$