answersLogoWhite

0

Since the perimeter equals the two lengths added to the two widths you can write this equation since you know the actual perimeter.

78cm = 2l + 2w

Since the area is the length multiplied by the width you can write this equation since you know the actual area.

108= lw

You have two variables (length and width) that you do not know. Sinceyou have two equations you can solve for the variables. you can use substitution or addition ifyou would like. I will use substitution.

l=108/w

78=2(108/w) + 2w

78=216/w + 2w

78w = 216 + 2w2

0 = 2w2 -78w + 216

w = 3cm or 36cm

now put both into the equations to find the length (l)

78 = 2l + 2(3 or 36)

78 = 2l + 6 or 72

2l = 72 or 6

l = 3cm or 36cm

Your dimensions are 36cm X 3cm

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake

Add your answer:

Earn +20 pts
Q: What are the dimensions of a rectangle with perimeter of 78cm and an area of 108cm?
Write your answer...
Submit
Still have questions?
magnify glass
imp