Arectangle is removed from a right triangle to create the shaded region shown below. find the area of the shaded region. be sure to include the correct unit in your answer.

29.5 yd²

Step-by-step explanation:

First we find the area of the triangle.

The base of the triangle is 5+4 = 9 yd.

The height of the triangle is 6+5 = 11 yd.

The formula for the area of a triangle is A = 1/2bh; this gives us

A = 1/2(9)(11) = 1/2(99) = 49.5 yd²

Next we find the area of the rectangle that is removed.  The length of the rectangle is 4 and the width is 5.  The area of a rectangle is given by

A = l*w; for our rectangle, we have

A = 4(5) = 20 yd²

The shaded region will have an area of

49.5 yd² - 20 yd² = 29.5 yd²

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!