geometry
posted by Kayla .
Find the area of square QRST with the following vertices Q(2, 3), R(1, 0), S(4, 3) and T(1, 6).

make a quick sketch to see how the square is positioned.
so all we need is the length of one side, e.g.. side QR
QR^2 = √(3^2+3^2) = √18
So area = √18 √18 = 18
Respond to this Question
Similar Questions

math
my question in (distance between two point) rectangle QRST has an area of 6 square units, and Q is at the origin. R lies on the xaxis, T lies on theyaxis , and the coordinates of the vertices are whole numbers. what are the possible … 
algebra/math
I have this figure of a square QRST with an equilateral triangle PQT sitting on top of the square. The figure looks like a little house... My question is if PQ equals 6 cm, then what is the area of the square? 
Geometry
A square with sides of is inscribed in a circle. What is the area of one of the sectors formed by the radii to the vertices of the square? 
Geometry
The coordinates of the vertices of a polygon are R(4, 3), S(4, 7), T(5, 7), and V(5, 3). Find the area and determine whether it is a parallelogram, rectangle, or square. 
Geometry
The coordinates of the vertices of a polygon are A(0, 0), B(7, 0), C(9, 7), and D(2,7). Find the area and determine whether it is a parallelogram, rectangle, or square. 
geometry
Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right angle … 
geometry
Quadrilateral QRST is a square. If the measure of QR is 3x – 6 and TS is 6  x. Find the area of the square. 
geometry
if two opposites vertices of a square are (0,1)and(4,3)find the other vertices 
Please help on geometry  analytic geometry
What is the area, in square units, of a triangle whose vertices are at (4,1), (10,3) and (4,5) ? 
Analytic Geometry
A square is a quadrilateral with four equal sides. The area of a square is equal to square of its sides. The diagonal of a square is a line segment joining any two nonconsecutive side. Find the area of a square and the length of its …