Question

A plant that manufactures metal plates has a quality control team to check that the plates are the right size. A rectangular plate advertised as 5 cm by 3 cm must have length within 0.25 cm of 5 cm. Write and solve an absolute value inequality to find the minimum and maximum area of the plates.

Answer 1

Given the size of rectangular plate in advertisement = 5 cm by 3cm.

Given the condition for length should be = 0.25 of 5 cm

Explanation:

Now, have to write the inequality from the given data.

Therefore, 5- 0.25 ≤ L ≤ 5+.25

4.75 ≤ L ≤ 5.25

We know that the area of a rectangle = Length × Width.

Width = 3

Thus, the area is 3 × L

3× (4.75) ≤ 3×L ≤3× (5.25)

14.25 ≤ 3×L ≤ 15.75

So the minimum area is 14.25 cm^2

The maximum area is 15.75 cm^2