Question

Lesson 10.2 area of composite figures worksheet assigment

Answer 1

The composite figure includes a rectangle and trapezoid

The area of the composite figure is 810.5cm².

How to determine the area?

From the complete question, we have the following parameters:

Shapes: Rectangle and trapezoid

The area of the rectangle is:

Area = Length × Width

So, we have:

Area = 15 × 23

Area  = 345cm²

The area of the trapezium

Area = 0.5 × (a + b) ×h

So, we have:

Area = 0.5 × (15 + 34) × 19

Area = 0.5 × 49 × 19

Area = 465.5cm²

Add both areas to calculate the area of the composite figure

Total area = 345cm² + 465.5cm²

Total area  = 810.5cm²

Hence, the area of the composite figure is 810.5cm².

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