A pentagon is a geometric figure with 5 sides. The lengths of the sides of a given pentagon are (6x + 2) cm, (3x + 2) cm, (2x) cm,(3x + 4) cm, and (8x – 4) cm. Which equation below describes the perimeter, P, of the pentagon in terms of x?
I don't see your choices but the answer would be the simplified version of the equation
P = 6x+2 + 3x+2 + 2x + 3x+4 + 8x-4
22x+4
To find the equation that describes the perimeter, P, of the pentagon in terms of x, we need to add up the lengths of all five sides of the pentagon.
The lengths of the sides are given as:
Side 1: (6x + 2) cm
Side 2: (3x + 2) cm
Side 3: (2x) cm
Side 4: (3x + 4) cm
Side 5: (8x – 4) cm
The perimeter is the sum of all these side lengths. Therefore, the equation for the perimeter, P, in terms of x is:
P = (6x + 2) + (3x + 2) + (2x) + (3x + 4) + (8x – 4)
Simplifying this equation by combining like terms, we get:
P = 6x + 2 + 3x + 2 + 2x + 3x + 4 + 8x – 4
Combining like terms, we have:
P = 21x + 2
Therefore, the equation that describes the perimeter, P, of the pentagon in terms of x is P = 21x + 2.