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Algebra 2 question: Area of a rectangle?
The length and width of a rectangle have a sum of 88. What dimensions give the maximum area?
A) length 44, width 44
B) length 35, width 53
C) length 43, width 45
D) length 34, width 54
My teacher says the answer is A - how do you figure? All of these, using the rectangle area equation 2l*2w=a all give you an area of 176. Am I missing something?
4 Answers
- :DLv 41 decade agoFavorite Answer
2l+2w=perimeter of a rectangle
the area of a rectangle =l*w
so
A) 44*44= 1936 ------- greatest area
B) 35*53= 1855
C) 43*45=1935
D) 34*54=1836
so, the answer is A
hope that helps!!!
- 1 decade ago
Area = length x height
Nothing is multiplied by 2.
Guess and check basically,
A) = 1936
B) = 1855
C) =1935
D) =1836
- Anonymous1 decade ago
C