Question

HELPPPP. what is the area of the trapezoid?

Answer 1

Option 1: 176 cm^2

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:

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

Putting the values

`= (1)/(2) (10+12) * 16`

`= (1)/(2) (22)(16)`

`= (1)/(2) * 352`

`Area = 176 cm^(2)`

Option 1 is the correct answer..

Answer 2

`Area=176cm^2`

Explanation:

The area of a trapezoid is calculated using the formula:

`Area=(1)/(2)(Sum\:of\:bases)* height`

We substitute the values into the formula to obtain:

`Area=(1)/(2)(12+10)*16`

We simplify the parenthesis to get:

`Area=(1)/(2)(22)*16`

We simplify further to obtain;

`Area=176cm^2`