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Ganezh [65]
3 years ago
8

A rectangular restaurant kitchen has a perimeter of 36 meters and an area of 80 square meters. what are the dimensions of the ki

tchen?
Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0
Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,

    P = 2L + 2W

Substituting the perimeter,
   36 = 2L + 2W
Simplifying,
    18 = L + W

The area is calculated by multiplying the length and width as below,
    A = 80 = LW
  
Substituting the expressions,
   80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.

Therefore, the dimensions of the rectangle are 8 m by 10 m. 
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