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What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.

What is the area of this figure? Select from the drop-down menu to correctly complete-example-1
User Faph
by
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2 Answers

2 votes

Answer:

146cm^2

Explanation:

Area of trapezoid:

(4+14)/2*10=90

Area of triangle:

(14*8)/2=56

90+56=146

User Nikhil Vidhani
by
8.0k points
3 votes

For this case we have a figure composed of a trapezoid and a triangle.

By definition we have that the area of a trapezoid is given by:


A = \frac {(B + b) * h} {2}

Where:

B: It's the biggest side

b: It is the minor side

h: It's the height.

So:


A = \frac {(14 + 4) * 10} {2}\\A = 90 \ cm ^ 2

For its part, the area of a triangle is:


A = \frac {b * h} {2}

Where:

b: It's the base

h: It's the height


A = \frac {14 * (18-10)} {2}\\A = \frac {14 * 8} {2}\\A = \frac {14 * 8} {2}\\A = 56 \ cm ^ 2

Thus, the total area is the sum of the two areas:


146 \ cm ^ 2

ANswer:


146 \ cm ^ 2

User Pvllnspk
by
7.7k points

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