SOLUTION: Brian has two rectangles gardens that have thes ame area but different perimeters. Each garden has an area of 48 sq ft. Draw two different rectangles with an area of 48 sq ft, but

Question 830554: Brian has two rectangles gardens that have thes ame area but different perimeters. Each garden has an area of 48 sq ft.
Draw two different rectangles with an area of 48 sq ft, but with different perimeters.
Then determine which of your designs will require less fencing
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
We know that area = length * width (A=L*W)
What are the possible combinations that will fit that problem?
Factors of 48 = 48,1; 24,2; 12,4; 8,6
It wouldn't make a lot of sense to have a 1x48 or 2x24 garden, but you could. We'll use the other two choices.
.
Garden A has a length of 8 and a width of 6
Garden B has a length of 12 and a width of 4
.
To fence the perimeter, use 2 lengths and 2 widths.
P = 2L + 2W
For Garden A, that is (2*8)+(2*6)
For Garden B, that is (2*12) + (2*4)
Which is larger?
A needs 16+12 or 28 feet
B needs 24+8 or 32 feet.

RELATED QUESTIONS
There are two homes. Each has a rectangular garden,with a perimeter of 24 yards. One... (answered by richwmiller)

Two different rectangles each have an area of 360 sq. centimeters. The length of the... (answered by uma)

Two rectangles each have an area of 12 inches. Find the dimensions of two different... (answered by rfer)

How can 2 rectangles have the same area but different perimeters?. (answered by rothauserc)

a rectangle has an area of 12/36 sq unit. provide the dimensions of three rectangles that (answered by Alan3354)

a. Draw 4 different rectangles, all of which have an area of 4 square inches. Label your... (answered by Edwin McCravy)

A rectangular garden has a perimeter of 48 cm and an area of 140 sq. cm. What is the... (answered by checkley77)

Not sure if "topic": selection is correct. how do you figure out the smallest and... (answered by Alan3354,josgarithmetic)

Can someone answer this ASAP please. How many different rectangles can you build with an (answered by richwmiller)