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Sedaia [141]
3 years ago
5

A rectangular table top has a perimeter of 24 inches and an area of 35 square inches. find its dimensions.

Mathematics
2 answers:
olga2289 [7]3 years ago
4 0
Hello : 
let : x  the lenght    y : the widith
the perimeter is ; 2(x+y)  and the area is : xy
so the system : 2(x+y) =24
                            xy  = 35  
  x+y = 12.....(1)
 xy = 35  ...(2)
 by (1) : y = 12-x
subsct in (2) : (12-x)x = 35
x²-12x+35 = 0
(x-7)(x-5) = 0
x-7=0 or x-5 = 0
x=7 or x=5
if : x=7    y = 12-7 = 5
if : x=5    y = 12-5 =7
but : x<span> <span>><span> y
</span></span></span>conclusion : one solution  (7 , 5).

The dimensions are 7 and 5 inches.
aleksandr82 [10.1K]3 years ago
3 0
7*5=35

7(2)+ 5(2)= 24

The dimensions are 7 and 5 inches.
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