SOLUTION: A rectangular garden has an area of 10 square feet. Four less than the width is equal to 23 less than twice the length.
a) Define variables
b) Write an equation, in standard
Algebra.Com
Question 890221: A rectangular garden has an area of 10 square feet. Four less than the width is equal to 23 less than twice the length.
a) Define variables
b) Write an equation, in standard form, that models the situation.
c) Solve your quadratic equation to find the length and the width.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
w for width and L for length:
-4+w=-23+2L from the second sentence description.
That gives ,
.
Area description means .
Choose either w or L and substitute for it in the area equation. Maybe w is most convenient to use. w=2L-19.
, when substituted.
Standard form for the equation is not really the best way to go. Just try simplifying, and if possible, factoring.
, general form.
Discriminant? 19^2-4*2(-10)=19^2+80=441=21^2.
Directly using general solution of a quadratic equation and the values from the equation,
MUST be only .
Use this in formula for w to find w.
RELATED QUESTIONS
A rectangular garden has an area of 42 square meters. The width is 8 meters less than... (answered by Alan3354)
mr.jackson has a rectangular shaped garden where the length was 4 less than twice the... (answered by srinivas.g)
The perimeter of a rectangular garden is 250 feet. The length is four feet less than... (answered by josgarithmetic)
mr.jackson has a rectangular garden where the length was 4 less than twice the width. if... (answered by srinivas.g)
A rectangular garden has an area of 180 square feet. If the width of the garden is 3 feet (answered by solver91311)
A rectangular garden has a perimeter of 188 feet. The width is 5 ft less than twice the... (answered by mananth)
Eddie has 12 feet of fencing to enclose a rectangular garden. If the garden’s length is... (answered by Alan3354)
a rectangular room has an area of 665 square feet. Its length is three less than twice... (answered by drj)
The length of a rectangular flower garden is four feet more than its width. The area is... (answered by ReadingBoosters)