Question

The pentagon has five sides as shown in the figure. The perimeter can be expressed as 5 + 5 + 2 x + x + 2 x.

A pentagon with side lengths of 5, 5, 2 x, 2 x, and x.

Which expression is equivalent to the perimeter expression?
5 + 4 x
10 + 4 x
5 + 5 x
10 + 5 x

Answer 1

Answer: 10+5x

Step-by-step explanation: Figure = Pentagon

Total No. of sides = 5

Sides = 5,5,2x,x,2x

Perimeter = 5+5+2x+x+2x = 10+5x

∴The correct answer is option D, (10+5x)

Answer 2

D

Explanation:

To find the perimeter, let's add up all the sides and combine like terms.

5 + 5 + 2x + 2x + x

Adding 5 and 5 gets us 10, and adding 2x, 2x, and x gets us 5x.

So, the perimeter should be 10 + 5x, or D