What is the area of this figure?

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The area of the whole figure = 146 cm^2

Step-by-step explanation:

The figure has two parts.

The upper part is a trapezoid and the lower part is a triangle.

Let's find the area of each figure and add them to get the answer.

Area of a trapezoid = 1/2*h*(a+ b)

Where "h" is the height and "a" and "b" are the bases.

Here h = 10, a = 14 and b = 4.

Plugging in these value in the above formula, we get

Area of the trapezoid = 1/2*10*(14 + 4)

= 5(18)

Area of the trapezoid = 90 cm^2

Part 2

Area of a triangle = 1/2*b*h, where "h" is the height of the triangle and "b" is the base of the triangle.

Here h = 18 -10 = 8 cm

and b = 14

Plug in these values in the above formula, we get

Area of the triangle = 1/2*8*14

= 4*14

Area of the triangle = 56 cm^2

The area of the whole figure = 90 cm^2 + 56 cm^2 = 146 cm^2

Hope this will helpful.

Thank you.

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step-by-step explanation: