Answer:
In the comments
Step-by-step explanation:
Answer:
The inequality for
is:

Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle =
ft
Perimeter is at least 300 ft
To write an inequality for
.
Solution:
Perimeter of a rectangle is given as:
⇒ 
where
represents length of the rectangle and
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒ 
Using distribution:
⇒ 
Simplifying.
⇒ 
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒ 
Solving for 
Subtracting both sides by 16.
⇒ 
⇒ 
Dividing both sides by 2.
⇒ 
⇒
(Answer)
Answer:
Length is 22.5 ft
Width is 16.5 ft
Step-by-step explanation:
4L-w=73.5
4L=73.5+w
L=(73.5+w)/4
P=78
P=2L+2w
78=2[(73.5+w)/4]+2w
78=(73.5+w)/2+2w
78=(73.5+w+4w)/2
2•78=73.5+5w
156=73.5+5w
156-73.5=5w
82.5=5w
82.5/5=w
16.5=w
L=(73.5+w)/4
=(73.5+16.5)/4
=90/4
L=22.5
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