Question

Do you know the answer???????? Help!!!!!

Answer 1

To find the area of the shaded region we need to divide it into one triangle and two rectangles like you can see in the picture.
The area of a triangle is
`A _(t) = (1)/(2) (base)(height)`, and we know from our figure that our triangle has base=10 feet and height=5 feet, so:

`A_(t) = (1)/(2) (10feet)(5feet)`

`A_(t) = 25feet^(2)`
The area of a rectangle is
`A_(r) =(length)(width)`. We have tow rectangles in our figure, so for our first one:

`A _(r1) =(10feet)(1feet)`

`A_(r1)=10feet^(2)`
for our second one:

`A_(r2) =(8feet)(2feet)`

`A_(r2) =16feet^(2)`

Now that we have the areas of all out figures, lets add them to find the area of the shaded region:

`A _(total) =25feet^(2) +10feet^(2) +16feet^(2)`

`A _(total) =51feet^(2)`

We can conclude that the area of the shaded region is 51 square feet.