Answer:
[tex]\large \boxed{\text{12.8 m}^{2}}[/tex]
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:
[tex]\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 $\large \boxed{\textbf{12.8 m}^{\mathbf{2}}}$}[/tex]
