Problem

The length of a rectangle is 4 meters less than twice the width. If the area of the rectangle is 286 square meters, find the dimensions.

The width is meters.
The length is meters.

Answer

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Answer

Final Answer: The width is 13 meters. The length is 22 meters.

Steps

Step 1 :Given that the length of a rectangle is 4 meters less than twice the width, we can express this as l=2w4.

Step 2 :We are also given that the area of the rectangle is 286 square meters. The area of a rectangle is calculated by multiplying the length by the width, so we can express this as lw=286.

Step 3 :We now have a system of two equations, which we can solve to find the values of w and l.

Step 4 :Solving this system of equations gives us two possible solutions: (11,26) and (13,22).

Step 5 :However, the dimensions of a rectangle cannot be negative, so we discard the first solution and take the second solution as the correct one.

Step 6 :This means the width of the rectangle is 13 meters and the length is 22 meters.

Step 7 :Final Answer: The width is 13 meters. The length is 22 meters.

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