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Tue 12 Aug, 2014 01:21 pm
A fence panel has an area of 24 ft.^2 and perimeter of 20 ft.^2. Calculate dimensions of the panel.
What is known:
A fence panel's area (24 ft.^2) and perimeter (20 ft.^2).
Area = Length x Width
Perimeter = 2L + 2W
Want to know:
Dimensions of panel.
How do I proceed from here?
@Randy Dandy,
Assuming a perimeter of 20 ft, not 20 square feet
Good grief, this is intuitive! 6 ft by 4 ft.
Well, OK
L*W = 24
2L+2W =20
L+W=10
L= 10-W
W(10-W)=24
10W -W^2=24
-W^2 +10W -24=0
W^2 -10W +24=0
(W-4)(W-6) =0
W=4, W=6
@neologist,
I meant perimeter = 20 ft.
I did not realize it was so simple. Thanks.
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