Find the area of the trapezoid by decomposing it into other shapes.

A) 40 cm2
B) 45 cm2
C) 50 cm2
D) 55 cm2

Find the area of the trapezoid by decomposing it into other shapes.


A) 40 cm2

B) 45 cm2

C) 50 cm2

D) 55 cm2

Respuesta :

For first is B For second is C::::)

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 =

                                

                                =  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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