Answer:
220.5 ft²
Step-by-step explanation:
Hello There!
To find the area of the figure we want to split the figure into two shapes that a formula can easily be used to calculate their area
We split it into a rectangle with a length of 12 and a height of 14
and we split it into a trapezoid with base lengths that are equal to 7 and 14 and a height of 5
Now we can easily solve for the area
for the rectangle we use the formula
[tex]A=lw[/tex]
where l = length and w = width
[tex]a=12*14\\12*14=168\\a=168[/tex] so the rectangles area is 168 ft²
Now let's solve for the trapezoid's area
To calculate the area of the trapezoid we use the formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = the bases and h = height
all we have to do is plug in the values
[tex]a=\frac{7+14}{2} 5\\7+14=21\\\frac{21}{2} =10.5\\10.5*5=52.5[/tex]
so the area of the trapezoid is 52.5 ft²
Now we just add the two areas together
52.5+168=220.5
so the total area of the figure is 220.5 ft²
