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

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06-01-2018
Mathematics

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

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Yna9141 Yna9141 · Answer 1 · 2018-01-19T14:12:11+01:00

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.