3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.

Sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.

Step-by-step explanation:

In the given triangular birdcage, sides of the triangle are consecutive integers.

Let sides of the triangle are x, (x + 1), (x + 2) cm.

Perimeter of a triangle = Sum of all sides of the given triangle

114 = x + (x + 1) + (x + 2)

114 = 3x + 3

3x = 111

x =

x = 37

Therefore, sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

b

step-by-step explanation: