The diagram shows a row of four identical tiles, each in the shape of an isosceles trapezoid. What is the area of one tile?

The area of one tile is 80 sq.

Step-by-step explanation:

We are given a a row of four identical tiles, each in the shape of an isosceles  trapezoid.

The two isosceles  trapezoid makes a parallelogram

Base of parallelogram =16 inch

Height of parallelogram = 10 inch

Area of parallelogram =

Area of parallelogram =

Area of 2 trapezoid = 160 sq. in.

Area of 1 trapezoid =

Hence the area of one tile is 80 sq.in.

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: