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36 votes
36 votes
20cm 8cm 8cm 20cm 15cm area of irregular figures

User Skarface
by
3.1k points

1 Answer

12 votes
12 votes

Answer

Area of the arrow = 610 square centimeters

Step-by-step explanation

The area of this irregular figure will be obtained by breaking it down into the two regular figures that make up the whole thing.

We can see that the figure consists of a triangle lying on top of a rectangle.

So, the area of the figure will be the sum of the triangle and the rectangle.

Area of a triangle = ½ × Base × Height

Base = 8 + 15 + 8 = 31 cm

Height = 20 cm

Area of this triangle = ½ × Base × Height

Area of this triangle = ½ × 31 × 20 = 310 cm²

Area of a rectangle = Length × Width

Length = 20 cm

Width = 15 cm

Area of this rectangle = Length × Width

Area of this rectangle = 20 × 15 = 300 cm²

Area of this irregular figure = (Area of the triangle) + (Area of the rectangle)

Area of the triangle = 310 square centimeters

Area of the rectangle = 300 square centimeters

Area of this irregular figure = (Area of the triangle) + (Area of the rectangle)

Area of this irregular figure = 310 + 300 = 610 square centimeters

Hope this Helps!!!

User Linnette
by
3.2k points