Question

Write the perimeter of the floor plan shown as an algebraic expression in x.

Answer 1

I believe the answer is --> p(perimeter) = 2x + 64 in the simplest algebraic expression.

Answer 2

Perimeter = 2x + 64

Explanation:

Perimeter = Sum of the lengths of the borders

From the given figure, we need to find the missing length.

Missing length = 18 - 10 = 8

Another missing length = (x + 14) - (x + 8) = x + 14 - x - 8

= 14 -8

= 6

Now let's add all the sides.

Perimeter = x + 14 + 8 + 6 + 10 + x + 8 + 18

Now add all the x terms and constants

Perimeter = 2x + 64