SOLUTION: What is the length of a rectangular garden whose perimeter is 72m and area 308 meter square?

Question 1162911: What is the length of a rectangular garden whose perimeter is 72m and area 308 meter square?
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve the quadratic for . The two roots will be the length and the width. You decide which is which.

John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A solution using formal algebra is something you should know how to do. However, if a formal solution is not required and the objective is only to solve the problem as quickly as possible, then mental arithmetic will find the answer.

The perimeter is 72, so length plus width is 36. So you need two numbers whose sum is 36 and whose product is 308.

So find pairs of numbers with a product of 308 and look for one for which the sum is 36.

308*1 no
154*2 no
77*4 no
44*7 no
22*14 YES!

RELATED QUESTIONS
julia has a rectangular garden with a perimeter of 72m and an area of 308^2m. what is the (answered by richwmiller)
The area of a rectangular floor is 72m square. If its width is half of its length, find... (answered by ayhanca)
The perimeter of a rectangular garden is 308 feet. If the length of the garden is 97... (answered by Alan3354)
The perimeter of a rectangular garden is 308 ft. If the length of the garden is 89 ft,... (answered by jjordan95)
the perimeter of a rectangular garden is 308 feet. If the length of the garden is 89... (answered by algebrahouse.com)
The length of a rectangular garden lawn is 8m. If the perimeter of the rectangle is 72m.... (answered by Alan3354,ikleyn)
the length of a rectangular garden is 6m greater than the width. the area is 72m^2. find... (answered by mananth)
the Length of a Rectangular Garden is 60 Feet. Its Area is 2400 Square Feet. What is the... (answered by rfer)
Maureen Woolhouse has a rectangular garden whose width is two-thirds its length. If its... (answered by CubeyThePenguin)