SOLUTION: This is from a book. A gardener plants corn in a garden with a length to width ratio of 5:4. Next year, he plans to increase the garden's area by increasing its length by 12 feet

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This is from a book. A gardener plants corn in a garden with a length to width ratio of 5:4. Next year, he plans to increase the garden's area by increasing its length by 12 feet      Log On


   

Question 182419This question is from textbook Algebra 1
: This is from a book. A gardener plants corn in a garden with a length to width ratio of 5:4. Next year, he plans to increase the garden's area by increasing its length by 12 feet. Write an expression for this new area.
L = 5x
W = 4x
This is what I tried.
(4x)(5x) + (4x)(12x)
20x^2 + 48x
 This question is from textbook Algebra 1

Found 2 solutions by solver91311, carmela:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You started correctly, and your final answer is correct, so maybe you just have a typo in your intermediate step.

Original length: 5x
Original width: 4x

New length: 5x + 12

So the new area must be the Original Width times the New Length:




John

Answer by carmela(3) About Me  (Show Source):
You can put this solution on YOUR website!
Let
l = length of the field
w = width of the field
A = area of the field

Original Dimensions:
l = 5x
w = 4x

New Dimensions : Increasing the length by 12 feet
l = 5x + 12
w = 4x
A = lw

Substitute the new dimensions l and w:
A = (5x + 12) (4x)
A = 20x^2 + 48

Therefore, the new area is 20x^2 + 48x.

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