Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:
Perimeter of a rectangular paper is 22 inches.
...(i)
Area of a rectangle is:
Area of the rectangular paper is 28 square inches.
Using (i), we get
Splitting the middle term, we get
Using zero product property, we get
If , then by using (i)
If , then by using (i)
Therefore, the dimensions of the paper are either or
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