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

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.