Question

What formula will you use to find the area of the polygon?

Answer 1

230 square centimeters

Explanation:

Make sure all the units are the same and consistent

This polygon is a combination of a rectangle and a triangle

Area of a rectangle = Length × Breadth

= (20 cm) × (4 cm)

= 80
`cm^(2)`

h = Perpendicular distance of the triangle

=
`(19 - 4)` cm

=
`15` cm

Area of triangle =
`(1)/(2)` × (Base of triangle) × h

=
`(1)/(2)` × (20 cm) × (15 cm)

= 150
`cm^(2)`

∴Area of polygon = Area of rectangle + Area of triangle

= 80
`cm^(2)` + 150
`cm^(2)`

= 230
`cm^(2)`