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Square ABCD has vertices A(2, 1), B(5, 3), C(3, 6) and D(0, 4) on a grid of 1 m squares. What is its area?

Class 10Classifying Shapes by CoordinatesGeometry — Coordinates

A $52 m^{2}$
B $13 m^{2}$
C $26 m^{2}$
D $13 m^{2}$

Step-by-Step Solution

Side

A B = 9 + 4 = 13

m. Area =

(13)^{2} = 13

m

^{2}

. (The diagonals are

26

, and

\frac{1}{2} \times 26 = 13

agrees.)

Answer: D)

13 m^{2}

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