The length of a rectangle is 4 cm longer than its width.

Mathematics
Tutor: None Selected Time limit: 1 Day

The length of a rectangle is 
 
 longer than its width. 
If the perimeter of the rectangle is 
 
 , find its area.
Feb 13th, 2015

P = 2L + 2W
P = perimeter
L = length
W = width
L = W + 4
P = 32
you get:
P = 2L + 2W becomes:
32 = 2(W+4) + 2W which becomes:
32 = 2W + 8 + 2W which becomes:
32 = 4W + 8
subtract 8 from both sides of this equation to get:
32 - 8 = 4W
combine like terms to get:
24 = 4W


divide both sides of this equation by 2 to get:
W = 6
since L is equal to W + 4, this makes L = 10
you have:
L = 10
W = 6
P = 2L + 2W = 20 + 12 = 32
this checks out ok.
A = L*W
A = 10*6 = 60
A equals area
L = length
W = width
area of the rectangle is equal to 60 square cm.
the question, however, was "what is the length?"
the answer to that is that the length equals 10 cm.

Feb 13th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Feb 13th, 2015
...
Feb 13th, 2015
Feb 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer