SOLUTION: A rectangle has an area of 148cm. If the length is decreased by 3cm and its width is increased by 2cm, the area will be increased by 5cm. Find the width of the original rectangle

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Question 810423: A rectangle has an area of 148cm. If the length is decreased by 3cm and its width is increased by 2cm, the area will be increased by 5cm.
Find the width of the original rectangle.

I cant figure out how to deal with this question but i know the answer of it.
The width of the original rectangle will be 8.37cm
Please help.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y are the two side lengths of the rectangle.
xy=148 cm%5E2
If the changes are made as described, %28x-3%29%28y%2B2%29=%28148%2B5%29 cm%5E2

Two equations, two unknowns x and y. Simplify the "area increased by 5" equation.
Solve the system.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A rectangle has an area of 148cm. If the length is decreased by 3cm and its width is increased by 2cm, the area will be increased by 5cm.
Find the width of the original rectangle.

Width: 8.2675 ≈ highlight_green%288.27%29 cm

You can do the check!!

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