Question

Help me please i need help​

Answer 1

220.5 ft²

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

`A=lw`

where l = length and w = width

`a=12*14\\12*14=168\\a=168` 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

`A=(a+b)/(2) h`

where a and b = the bases and h = height

all we have to do is plug in the values

`a=(7+14)/(2) 5\\7+14=21\\(21)/(2) =10.5\\10.5*5=52.5`

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