SOLUTION: TRANSLATE THE FOLLOWING INTO A QUADRATIC EQUATION AND SOLVE IT. THE LENGTH OF A RECTANGULAR GARDEN IS FOUR TIMES ITS WIDTH, IF THE AREA OF THE GARDEN IS 196 SQUARE METERS, WHAT ARE
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-> SOLUTION: TRANSLATE THE FOLLOWING INTO A QUADRATIC EQUATION AND SOLVE IT. THE LENGTH OF A RECTANGULAR GARDEN IS FOUR TIMES ITS WIDTH, IF THE AREA OF THE GARDEN IS 196 SQUARE METERS, WHAT ARE
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Question 180322: TRANSLATE THE FOLLOWING INTO A QUADRATIC EQUATION AND SOLVE IT. THE LENGTH OF A RECTANGULAR GARDEN IS FOUR TIMES ITS WIDTH, IF THE AREA OF THE GARDEN IS 196 SQUARE METERS, WHAT ARE ITS DIMENSIONS? This is the answer that I got, please tell me what I did wrong....
Width is X
Length is 4X
Area is 196
X(4X) = 196
4X² = 196 subtract 196 from each side to get zero on one side
4X² - 196 = 0
(2X – 14)(2X +14) solve by factoring a difference of squares
2X - 14=0 2X + 14=0 solving the 2 equations separately
2X=14 2X= -14
X=7 X= -7
Check: x(4x) =196
7(4.7) =196
7(28) = 196
196 = 196
Dimensions of rectangle are:
Width is 7
Length is 28
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