Suppose Rick has 40 ft of fencing with which he can build a rectangular garden. Letxrepresent the length of the garden and letyrepresent the width.(a) Write and inequality representing the fact that the total perimeter of thegarden is at most 40 ft.(b) Sketch part of the solution set for this inequality that represents all possiblevalues for the length and with of the garden. (Hint:Note that both the lengthand the width must be positive.)

Step-by-step explanation:

Step-by-step explanation:

Since Rick has 40ft of fencing

Then, the perimeter cannot be more than 40ft if he decided to lay the block on a single layer and not on each other

Then if the length is x

And the breadth is y

Perimeter of a rectangle is 2(l+b)

Therefore,

Perimeter is less than or equal to 40ft

2(l+b)  ≤ 40

b.  2(l+b)≤ 40

Then divide both side by 2

l+b≤ 20.

Then l ≤ 20-b

Also, b ≤ 20-l

Check attachment for graph

the answer

b. they are parallel and will never intersect.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.