One side of a rectangle is 2 cm longer than the other. The perimeter of the rectangle (that is, the distance all the way around the edge) is 24cm. How long are the sides of the rectangle?

please show all your working out, thank you!!

One side of a rectangle is 2 cm longer than the other. The perimeter of the rectangle (that is, the distance all the way around the edge) is 24cm. How long are the sides of the rectangle?

please show all your working out, thank you!!

Tutors, please sign in to answer this question.

Middletown, CT

Hi Kath;

First side...x

Second side...x+2

The rectangle has four sides, two width and two length.

24=2[x+(x+2)]

24=2(x+x+2)

24=2(2x+2)

24=4x+4

Let's subtract 4 from both sides as we isolate x...

-4+24=4x+4-4

20=4x

Let's divide both sides by 4...

20/4=4x/4

5=x

5+2=x+2

7=x+2

Let's check our work...

First side...5

Second side...5+2=7

24=2(5+7)

24=2(12)

24=24

Daisy C.

Effective ELA Tutor - Boston College Graduate - Masters Degree ELA/ESL

Atlantic Beach, NY

5.0
(131 ratings)

Mary Ann P.

Patient and Effective Ivy League Trained Educator

Far Rockaway, NY

5.0
(28 ratings)

- Elementary (K-6th) 6
- Study Skills 7
- Elementary Education 2
- Reading 42
- Test Preparation 14
- English 481
- High School: Math 107
- Math 9341
- High School: ELA 3
- Writing 85