Math, asked by bansalram81, 3 days ago

find the area of following figure​

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Answered by BrookTheBigBrain
1

Answer:

Total figure area = 22 cm

Step-by-step explanation:

First let's break down the figure into two shapes and find the formula for area for these shapes.

Rectangle = length * width

Trapezoid = ( ( base + base ) / 2 ) * height

Total figure area = Area of rectangle + Area of trapezoid

Now that we have separated our figure into two shapes, lets find the area of these shapes.

Rectangle = length * width

Rectangle = (8-2.4) * 2

Rectangle = (5.6) * 2

Rectangle = 11.2

Trapezoid = ( ( base + base ) / 2 ) * height

Trapezoid = (  ( (7) + (2) ) / 2 ) * (2.4)

Trapezoid = ( (9) / 2 ) * 2.4

Trapezoid = (4.5) * 2.4

Trapezoid = 10.8

Lastly, let's add the areas of our two shaped to find the area of the entire shape.

Total figure area = Area of rectangle + Area of trapezoid

Total figure area = (11.2) + (10.8)

Total figure area = 22 cm

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