Asolar collector is 2,0 m long by 1,5 m wide. it is held in place
by a frame of uniform width around its outside edge. if the
exposed collector area is 2,5 m^2, what is the width of the frame ?

The width of the frame is 0.0746 meters

Step-by-step explanation:

We are told that after the frame has been attached to the solar collector, the area that is left exposed is  . As we see in the figure, the dimensions of this area are

and  

where is the width of the frame.

The product of these dimensions must equal the exposed area:

Now since and we have:

we expand this and solve for x using the quadratic formula:

we get two solutions:

We take the second solution i.e , because first one gives a width larger than the dimensions of the solar collector which cannot be possible.

Thus the width of the frame is 0.0746 meters.

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step-by-step explanation: