Question

The perimeter of a rectangle must be greater than 70 cm, but the length cannot be greater than 30 cm

and the width cannot be greater than 20 cm. Represent the length with x and the width with y.
a) Write 3 constraints (Inequalities) for this problem
b) Graph all 3 constraints on the graph paper.
c) What are two possible combinations for the length and the width of the rectangle?

Answer 1

Explanation:

I need help

Answer 2

`2* (x+y) > 70\\x \leq 30\\y\leq 20`

c) (35,20) and (25,15)

Explanation:

We are given the following information in the question:

Let x be the length of the rectangle and y be the width.

Perimeter of rectangle =
`2* \text{(Length + Width)}`

a) Then, we can have the following inequalities:

`2* (x+y) > 70\\x \leq 30\\y\leq 20`

b) The attached image shows the graph for the three inequalities.

c) The two possible combination of length and width of rectangle could be:

(35,20) and (25,15)

The points are shown in the graph and satisfies all the three inequalities.