SOLUTION: Consider 2 rectangles: 3 by 8 and 4 by 8. Find the Area and Perimeter for each rectangle. Use your work to deduce that it is possible for a (non-square) rectangle's Area and Peri

Algebra.Com
Question 1180704: Consider 2 rectangles: 3 by 8 and 4 by 8. Find the Area and Perimeter for each rectangle. Use your work to deduce that it is possible for a (non-square) rectangle's Area and Perimeter to be (numerically) equal. Can you find such a rectangle where one side is length 8?
Found 2 solutions by ikleyn, ewatrrr:
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.

Good question for an advanced alumni of a kindergarten.


Do not understand, what is the need to post it to the forum.


Can you explain it, PLEASE ?



Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
A - wh  and P = 2w + 2L
3x8  A = 24  P = 22  numerically
4x8  A = 32  P = 24  numerically
(non-square) rectangle's Area and Perimeter to be (numerically) equal. 
Can you find such a rectangle where one side is length 8?
 8w = 16 + 2w  numerically
  6w = 16
   w = 8/3 
(8/3)x 8

64/3 = 48/3 + 16/3  checks.
Wish You the Best in your Studies.


RELATED QUESTIONS

You can divide the rectangle and find the area of two rectangles then find the area of... (answered by JBarnum)
Consider the set of all rectangles whose perimeter is 50 cm. For any one rectangle, once... (answered by Theo)
Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3.... (answered by ikleyn,greenestamps)
A rectangle with positive area has length represented by the expression 3x^2+5x-8 and... (answered by jsmallt9)
How do I calculate all the possible rectangles that can fit into a 2D rectangle? For... (answered by Fombitz)
A rectangle is 3 times as long as it is wide. If the length is increased by 6 and the... (answered by ewatrrr)
I have the answer I just need to make sure it is correct. Please confirm. The length of... (answered by ewatrrr)
I am having trouble with rectangles. I get the formula and how to find an area/perimeter... (answered by ankor@dixie-net.com,KMST)
Dear Sir/Madam. Can you please help me solve the following multi-part problem? I tried (answered by josgarithmetic)