Question

1. Find the area of the polygon based on
the given measurements (cm).
​

Answer 1

Answer:

Area of the given polygon is 51.5 sq.cm

Step-by-step explanation:

Area of triangle MAN=1/2×base ×height

=1/2×2×4

=4sq.cm

Area of trapezium NACO=(sum of parallel sides)/2×height

=(4+6)/2×4

=5×4

=20sq.cm

Area of triangle COP=1/2×base×height

=1/2×4×6

=12sq.cm

Area of triangle MBR=1/2×base×height

=1/2×3×3

=4.5sq.cm

Area of trapezium BRQD=(sum of parallel sides)/2×height

=(3+2)/2×4

=10sq.cm

Area of triangle DQP=1/2×base×height

=1/2×2×3

=3sq.cm

Area of the given polygon= Area of triangle MAN+Area of trapezium NACO+Area of triangle COP+Area of triangle MBR+Area of trapezium BRQD+Area of triangle DQP=

(4+20+12+4.5+10+3)sq.cm=51.5sq.cm

Answer 2

Step-by-step explanation:

So the area of polygon is 53.5 cm^2