SOLUTION: Two gardeners are building fences around each of their rectangular 100 square yard gardens. One gardener purchases 62 yards of fencing. The other purchases 30 yards of fencing. Ex
Algebra.Com
Question 876438: Two gardeners are building fences around each of their rectangular 100 square yard gardens. One gardener purchases 62 yards of fencing. The other purchases 30 yards of fencing. Explain the reason for each gardener purchasing different lengths of fencing even though both gardens are 100 yards in area.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The dimensions of each garden can be solved. The length and width of one garden are different than the length and width of the other garden.
You can go forward with these two gardens using these relationships:
x and y are dimensions.
Constants: A for area, p for perimeter
Unknowns: x and y either for length and width
xy=A and 2x+2y=p.
,
;
Use and solve the quadratic equation first and then use the value in the linear equation for y.
RELATED QUESTIONS
A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens (see... (answered by ikleyn)
There are two homes. Each has a rectangular garden,with a perimeter of 24 yards. One... (answered by richwmiller)
Two gardens are being fenced in. Both gardens will require the same amount of fencing... (answered by josgarithmetic)
Two gardeners can do the weekly yard maintenance is 18 minutes if they work together.... (answered by greenestamps)
Two gardens are being Fenced in. Both Gardens Will require the same amount of fencing... (answered by macston)
Two gardens are being fenced in. Both gardens will require the same amount of fencing​ (answered by MathLover1,ewatrrr)
Mike and Matthew are each responsible for mowing half of their 60 foot by 100 foot... (answered by ankor@dixie-net.com)
Mr. Bonifacio wouldlike to enclose his two adjacent rectangular gardens with 70.5 m of... (answered by ankor@dixie-net.com)
A farmer would like to enclose a rectangular portion of his field using fences on all... (answered by josgarithmetic)