HELPPPP. what is the area of the trapezoid?

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..