Since your dimensions must be whole numbers, the only side pairs possible are (1,12), (2,6)(3,4) or turn them around
e.g. for a rectangle of 1 by 12, the area is 12 and the perimeter would be
26
what is the perimeter of the other cases?
Which of these is the greatest perimeter?
help me PLEASE HELP ME thx
1. If the dimensions of a rectangle are whole numbers, what is the greatest perimeter you can make with a rectangle with an area of 12 feet
Help I have a test soon and I want to get it right or else my mom will not let me play game till I'm better at math☹️ so PLEASE HELP
2 answers
L = Length
W = Width
If the dimensions of a rectangle are whole numbers possible dimensions are:
1 x 12
L = 1 , W = 12
A = 1 ∙ 12 = 12
P = 2 ( L + W ) = 2 ( 1 + 12 ) = 2 ∙ 13 = 26
2 x 6
L = 2 , W = 6
A = 2 ∙ 6 = 12
P = 2 ( L + W ) = 2 ( 2 + 6 ) = 2 ∙ 8 = 16
3 x 4
L = 3 , W = 4
A = 3 ∙ 14 = 12
P = 2 ( L + W ) = 2 ( 3 + 4 ) = 2 ∙ 7 = 14
Dimensions 4 x 3, 6 x 2 and 12 x 1 are not calcted because their perimeter is the same as for the upper dimensions.
The greatest perimeter is 26 ft
W = Width
If the dimensions of a rectangle are whole numbers possible dimensions are:
1 x 12
L = 1 , W = 12
A = 1 ∙ 12 = 12
P = 2 ( L + W ) = 2 ( 1 + 12 ) = 2 ∙ 13 = 26
2 x 6
L = 2 , W = 6
A = 2 ∙ 6 = 12
P = 2 ( L + W ) = 2 ( 2 + 6 ) = 2 ∙ 8 = 16
3 x 4
L = 3 , W = 4
A = 3 ∙ 14 = 12
P = 2 ( L + W ) = 2 ( 3 + 4 ) = 2 ∙ 7 = 14
Dimensions 4 x 3, 6 x 2 and 12 x 1 are not calcted because their perimeter is the same as for the upper dimensions.
The greatest perimeter is 26 ft
1 answer