Question

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

1 ponto
Imagem sem legenda
(a) 10,4 m²
(b) 25,6 m²
(c) 12,8 m²
(d) 15,2 m²

Answer 1

`\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 & = & (1)/(2)(a + b)h\\\\& = & (1)/(2)(3.8 + 2.6)* 4\\\\& = & (1)/(2)(6.4) * 4\\\\A & = & (1)/(2)*25.6\\\\& = & \textbf{12.8 m}^{\mathbf{2}}\\\end{array}\\\text{The area of the room is $\large \boxed{\textbf{12.8 m}^{\mathbf{2}}}$}`