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The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this
situation
A. 2(x + y) = 60
B. 2x + 2y = 60
C. x+2y = 60
D. 2x + y = 60
E. x+y = 60

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Answer:

A and B are the correct answers

The equation that represent the given situation is 2 ( x +y) = 60 and 2x +2y = 60, the correct option is A, and B.

What is an Equation?

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

A rectangle is a polygon with four sides, the opposite sides of a rectangle is parallel and equal.

The perimeter of a rectangular room is 60 feet.

The perimeter of a rectangle is given by,

P = 2 ( Length + Breadth)

Let x be the width of the room  (in feet).

Let y be the length of the room (in feet).

Substituting the values in the formula to get the equation.

60 = 2 ( x +y)

2 ( x +y) = 60 ---------- (1)

2x +2y = 60 ------------(2)

Therefore, the equations that could model this is situation 2 ( x +y) = 60 and 2x +2y = 60.

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