Find the area of the trapezoid by decomposing it into other shapes plzz help i will give brainy board to who every
find the area of the trapezoid by decomposing it into - 1

Answers

Answer 1
Answer:

The area of the trapezoid is 35 cm².

Solution:

The figure is splitted into two shapes.

The reference image is attached below.

One shape is rectangle and the other is triangle.

Length of the rectangle = 6 cm

Width of the rectangle = 5 cm

Area of the rectangle = length × width

                                    = 6 × 5

                                    = 30 cm²

Base of the triangle = 8 cm - 6 cm = 2 cm

Height of the triangle = 5 cm

Area of the triangle = (1)/(2) bh

                                 $=(1)/(2) *2 *5

                                 =  5 cm²

Area of the trapezoid = Area of the rectangle + Area of the triangle

                                    = 30 cm² + 5 cm²

                                    = 35 cm²

The area of the trapezoid is 35 cm².


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