The area of a rectangle is 33 m2 ,
And the length of the rectangle is 5 m less than the width .find the dimensions of the rectangle.

For this case we have that by definition, the area of a rectangle is given by:

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

According to the data of the statement we have:

Substituting:

Substituting the values:

Thus, we have two roots:

w_ {1} = \ frac {5+ \ sqrt {157} {2}} = 8.77

w_ {2} = \ frac {5+ \ sqrt {157} {2}} = - 3.77

We choose the positive value. So the width of the rectangle is approximately 8.77 meters and the length is 3.77 meters

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step-by-step explanation: