Question

Write an equation: The sides of a rectangle are x and ( x - 4 ). The perimeter is 87

Answer 1

The perimeter of a rectangle, is all of the sides added up.

In a rectangle, there are two widths (right and left), and two lengths (up and down)

So:

Perimeter = 2 × width + 2 × length.

To get the equation we just substitute in the values that we are given:

length = (x)

width = (x - 4)

perimeter = 87

So just put these values into:  perimeter = 2 × width + 2 × length:

87  =  2(x) + 2(x - 4)

_____________________________

Answer:

The equation is:       87 = 2(x) + 2(x - 4)

(note: this can be simplified down like so:

87 = 2x + 2x - 8

87 = 4x - 8

95 = 4x

23.75 = x    

)