Question 969826: Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden?
13 m wide
14 m wide
15 m wide
16 m wide
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! (MISTAKE IS NOW FIXED.)
This kind of exercise is very common.
w, width
L, length
u, the uniform width to add around the garden.
A, the amount of area increase.---No. That meaning is a mistake. A is the new area of 208 square meters.
UNKNOWN is u.
Original area,  .
New area, 
Increase of area,  . This is the equation to start
working with.
 ------General-form quadratic equation in the variable(unknown), u.
You can solve the quadratic equation for u. Substitute the values for L, w, and A any time you want. You may want to substitute NOW, and simplify, before either factoring or do general solution, to finish.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden?
13 m wide
14 m wide
15 m wide
16 m wide
Increase in width and length: 3 m
New width:  m
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