Respuesta :

Answer:

[tex]Area=176cm^2[/tex]

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

[tex]Area=\frac{1}{2}(Sum\:of\:bases)\times height[/tex]

We substitute the values into the formula to obtain:

[tex]Area=\frac{1}{2}(12+10)\times16[/tex]

We simplify the parenthesis to get:

[tex]Area=\frac{1}{2}(22)\times16[/tex]

We simplify further to obtain;

[tex]Area=176cm^2[/tex]

Answer:

Option 1: 176 cm^2

Step-by-step explanation:

In order to find the area of trapezoid, we need to know the length of two sides(bases) and the vertical height to trapezoid

Here in the given trapezoid

base1 = a = 10cm

base2 = b= 12cm

and

h = 16 cm

The formula for area of trapezoid is:

[tex]Area = \frac{1}{2} (a+b)*h[/tex]

Putting the values

[tex]= \frac{1}{2} (10+12) * 16[/tex]

[tex]= \frac{1}{2} (22)(16)[/tex]

[tex]= \frac{1}{2} * 352[/tex]

[tex]Area = 176 cm^{2}[/tex]

Option 1 is the correct answer..

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