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A mosaic is drawn as the rhombus P(0, 3), Q(4, 0), R(0, −3), S(−4, 0) with units in decimetres. Find its area.

Class 10Classifying Shapes by CoordinatesGeometry — Coordinates

A $48 d m^{2}$
B $20 d m^{2}$
C $12 d m^{2}$
D $24 d m^{2}$

Step-by-Step Solution

Diagonals: PR = 6 and QS = 8. Area of a rhombus =

\frac{1}{2} d_{1} d_{2} = \frac{1}{2} \times 6 \times 8 = 24

dm

^{2}

. 48 forgets the

\frac{1}{2}

.

Answer: D)

24 d m^{2}

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