Question

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

Answer 1

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 = $\frac{1}{2} bh$

                                 $=\frac{1}{2} \times2 \times5$

                                 =  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.