Question

Find an expression in its simplest form for the perimeter of this shape

Answer 1

Answer:

(18p + 18)

Explanation:

the perimeter of the shape is the sum of all its sides. we are given the individual lengths of all the sides except for the horizontal one at the bottom and the vertical one between (2p + 5) and (3p + 4), but they can easily be calculated using the other values.

the horizontal length at the bottom is the sum of (2p + 5) and (3p + 4), or (5p + 9).

the vertical length is the difference between 4p and 2p, which is 2p.

now, we can add all of these values together:

4p + (2p + 5) + 2p + (3p + 4) + 2p + (5p + 9)

= 4p + 2p + 2p + 3p + 2p + 5p + 5 + 4 + 9

= 18p + 18

i hope this helps! :D