SOLUTION: The perimeter of a rectangle is 92m If the width were doubled and the length were increased by 24m, then the perimeter would be 182m. What are the dimensions? w 18 L 23 W 25 L

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Question 678285: The perimeter of a rectangle is 92m If the width were doubled and the length were increased by 24m, then the perimeter would be 182m. What are the dimensions?
w 18 L 23
W 25 L 21
W 21 L 25
W 23 L 23
Answer by MathLover1(20849) (Show Source):
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The perimeter of a rectangle is
=> ....eq. 1
If the width were doubled and the length were increased by , then the perimeter would be

=>....eq. 2

solve the system:
....eq. 1
....eq. 2
_______________________________
....eq. 1 ...solve for
....both sides divide by

.....substitute in eq. 2

....eq. 2.first both sides divide by

.......substitute
....solve for

now find

so, your answer is:W 21 L 25