At the school carnival, the sixth graders are making directional arrows, as shown below. A polygon shaped like an arrow is shown. The total height of the arrow head and the arrow tail is 7 inches. The base of the arrow tail is 4 inches. The width of the arrow is 6 inches, and the height of the tail of the arrow is 5 inches.

Each arrow is to be painted red. How much area needs to be painted for 1 arrow?

To make it easier heres the picture!:

32 Inches

Step-by-step explanation:

First, split arrow into triangle and rectangle

Rectangle:

Area=5x4

       =20

Triangle:

Area=6x2

       =12

Add both shapes areas together

to find total

Total=32 Inches

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: