Question

find the area of each of the following polygons​

Answer 1

Answer:

116 cm is the area of the polygons.

Answer 2

Answer:

1113 cm²

Step-by-step explanation:

Area of triangle = 1/2 × Base × Height

                          = 1/2 × 11 × 60 cm²

                          = 11 × 30 cm²

                          = 330 cm²

In the triangle, according to pythagoras theorem,

⇒Hypotenuse² = Base² + Height²

⇒Hypotenuse² = 11² + 60²

⇒Hypotenuse² = 121 + 3600

⇒Hypotenuse² = 3721

⇒Hypotenuse = √3721

⇒Hypotenuse = 61 cm

Area of trapezium = 1/2 × Sum of parallel sides × Height

                              = 1/2 × (26+61) × 18 cm²

                              = 87 × 9 cm²

                              = 783 cm²

Area of figure = Area of triangle + Area of trapezium = (330+783) cm² = 1113 cm²