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Let the length be (x+2.75) and the width be x:

length*width = area

(x+2.75)*x = 37.5 cm2

Multiply out the brackets and form a quadratic equation:

x2+2.75x-37.5 = 0

Using the quadratic equation formula gives a positive value of 4.901195105 for x.

Therefore: width = 4.901195105 cm and length = 7.651195105 cm which is 2.75 cm larger than the width

Check: 4.901195105*7.651195105 = 37.5 square cm

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Q: What are the dimensions of a rectangle when one side is 2.75 cm larger than the other side and has an area of 37.5 square cm?
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