Question

two vertices of square abcd are c(5,8) and d(2,4).
a. do you need to find the coordinates for the other two vertices to find the perimeter and area of the square? justify your argument.
select choice ; the perimeter and area of a square select choice be found using the length of just one side.
need help?

Explanation:

A square has all sides equal. The perimeter of a square is \(4\times\) side - length and the area is \((\text{side - length})^2\). We can find the length of side \(CD\) using the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) (where \((x_1,y_1)=(5,8)\) and \((x_2,y_2)=(2,4)\)) to get the side - length of the square. Then we can calculate the perimeter and area without knowing the coordinates of the other two vertices.

Answer:

No; can