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

Question

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] · Answer 1 · 2021-12-05T15:37:56+03:00

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.