Perimeter & Equivalent Expressions

Identify the Perimeter

100

A square has side length x+0.6.
Question: Write the perimeter expression.

✔️ Answer:
4(x+0.6)

200

A rectangle has length 2x+1 and width x+0.5.

Question: Write the perimeter expression before simplifying.

✔️ Answer:
2(2x+1)+2(x+0.5)

300

A triangle has sides x+1, 2x, and x+0.4.
Question: Write the perimeter as a sum.

✔️ Answer:
(x+1)+2x+(x+0.4)

400

A pentagon has each side 1.2x+0.8.
Question: Write the perimeter using multiplication.

✔️ Answer:
5(1.2x+0.8)

Simplify the Expression

100

Rewrite:
4(x+0.5)

✔️ Answer:
4x+2

200

Rewrite the perimeter of a rectangle given by:
2(3x+0.5)+2(x+1.5)

✔️ Answer:
8x+4

300

Rewrite:
5(0.6x+0.4)

✔️ Answer:
3x+2

400

Rewrite fully:
(2x+1)+(2x+1)+(x+0.5)+(x+0.5)

✔️ Answer:
6x+3

Equivalent or Not?

100

Are these equivalent?
4(x+1) and 4x+1

✔️ Answer:
❌ No (the 4 must multiply both terms)

200

Which is equivalent to 5(x+0.4)?
A) 5x+0.4
B) 5x+2

✔️ Answer:
✅ B 

300

Which expressions match the same perimeter? (Select all)
A) 2(3x+1)
B) 6x+2
C) 3x+2

✔️ Answer:
✅ A and B

400

A rectangle’s perimeter simplifies to 8x+4.
Which expression is NOT equivalent?

A) 2(4x+2)
B) 4(2x+1)
C) 2(2x+2)

✔️ Answer:
❌ C