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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 other shapes plzz help i will-example-1

1 Answer

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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.

Find the area of the trapezoid by decomposing it into other shapes plzz help i will-example-1
User Guilherme Viebig
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