I WILL GIVE BRAINIEST IF ANSWERED WITH CLEAR EXPLANATION AND ANSWERS. Find the area of each figure. Round your answer to 2 decimal places if required. (Use = 3.14 if needed)

285 ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:

A parallelogram with the following dimensions

base = 15

height = 7

and a trapezoid with the following dimensions

base 1 = 11

base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)

height = 15

Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure

For the parallelogram

The area of a parallelogram can simply be found by multiplying the height and the base

So A = 15 * 7

15 * 7 = 105 so the area of the parallelogram is 105 square feet

For the Trapezoid

The area of a trapezoid can be found by using this formula

where a and b = bases and h = height

So using the information that we had found about the trapezoids dimensions we plug in the values

So the area of the trapezoid is 180 square feet

Finally we add the areas of the two regular figures

180 + 105 = 285

so we can conclude that the area of the composite figure is 285 ft²