Question

What is the area of this figure?

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

Answer 1

146cm^2

Explanation:

Area of trapezoid:

(4+14)/2*10=90

Area of triangle:

(14*8)/2=56

90+56=146

Answer 2

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`