Question

Uma sala tem o formato de um trapézio, determine a área dessa sala.

Answer 1

Answer:

$\large \boxed{\text{12.8 m}^{2}}$

Step-by-st ep explanation:

Assume the room is like the image below.

The formula for the area of a trapezoid is  

A = ½(a + b)h,

where a and b are the lengths of the parallel sides and h is the distance between them.

Data:

a = 3.8 m

b = 2.6 m

h = 4    m

Calculation:

$\begin{array}{rcl}A & = & \dfrac{1}{2}(a + b)h\\\\& = & \dfrac{1}{2}(3.8 + 2.6)\times 4\\\\& = & \dfrac{1}{2}(6.4) \times 4\\\\A & = & \dfrac{1}{2}\times25.6\\\\& = & \textbf{12.8 m}^{\mathbf{2}}\\\end{array}\\\text{The area of the room is \large \boxed{\textbf{12.8 m}^{\mathbf{2}}} }$