Answer:
D) 45 in., 75 in
Step-by-step explanation:
A rectangle with width w and length l has the perimeter given by the following equation:
[tex]P = 2w + 2l[/tex]
A rectangular Persian carpet has a perimeter of 240 inches.
This means that [tex]2w + 2l = 240[/tex]
Simplifying by 2
[tex]w + l = 120[/tex]
The length of the carpet is 30 inches more than the width.
This means that [tex]l = 30 + w[/tex]
So
[tex]w + l = 120[/tex]
[tex]w + 30 + w = 120[/tex]
[tex]2w + 30 = 120[/tex]
[tex]w = 45[/tex]
[tex]l = 30 + w = 30 + 45 = 75[/tex]
So the correct answer is:
D) 45 in., 75 in
