SOLUTION: A rectangular garden is to be constructed, and it was decided that the length should be 10 more than the width. if the total area enclosed will be 180 ft^2, set up and solve an equ

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Question 319085: A rectangular garden is to be constructed, and it was decided that the length should be 10 more than the width. if the total area enclosed will be 180 ft^2, set up and solve an equation to find the dimensions of the garden.
Please help, this is like a foreign language to me!!!!!
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
First name the variables.
-length of the rectangular garden
-width of the rectangular garden
.
.
.
Now translate the words to equations,
"length should be 10 more than the width"
1.
"total area enclosed will be 180 ft^2"
What's the area of a rectangle???
In terms of its length and width, the area is,

2.
Now you have two independent equations with two unknowns, you can solve for each.
Substitute eq. 1 into eq. 2,



Use the quadratic formula,



Only the positive result makes sense in this case.


ft
Then from above,

ft
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