What is the area of the shaded region to the nearest tenth of a foot?

Part a) Explain what formulas you will use to find the area of the shaded area.

Part b) Explain how you find the area of the shaded region. What was your thought process?

140 ft²

Step-by-step explanation:

To Find the area of the shaded region, first since the shape is made up of a rectangle with a circle inside it, you have to first calculate the area of the rectangle. Secondly you have to calculate the area of the circle. To get the area of the shaded portion, subtract the area of the circle from the area of the rectangle.

Length of the rectangle = 21 ft, breadth of the rectangle = 14 ft, diameter of the circle = 14 ft

Area of rectangle = length × breadth = 21 × 14 = 294 ft²

Area of circle = π × diameter² / 4 = π × 14² / 4 = 154 ft²

Area of shaded region = Area of rectangle - Area of circle = 294 - 154 = 140 ft²

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!