SOLUTION: a rectangular swimming pool is 2 m longer than it is wide.if the width is decreased by 3m, and the length is increased by 4m the area remains the same as the original area.find the

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Question 159756This question is from textbook
: a rectangular swimming pool is 2 m longer than it is wide.if the width is decreased by 3m, and the length is increased by 4m the area remains the same as the original area.find the original dimensions of the pool?This question is from textbook

Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
Original dimensions
Width=X
Length=X+2
New dimensions
Width=X-3
Length=X+2+4=X+6
The areas are the same the area of a rectangle is WL
X(X+2)=(X-3)(X+6)
Use the distributive property
x^2+2X=X^2-3X+6X-18
x^2+2X=x^2+3X-18
Subtract x^2 from both sides
2X=3X-18
subtract 2X from both sides
add 18 to both sides
18=X
The original dimensions of the pool is 18mX20m
The new dimensions are 15mX24m
18*20=360
15*24=360