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A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. The total length of ribbon that is needed to line the two long sides of the hat is 22 inches.
What is a kite?
A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides that are opposite each other rather than adjacent.
Since the two adjacent small and two adjacent long sides of a kite are always equal. Therefore, the length of the smaller sides can be written as,
(2x + 1) inches = 5 inches
2x + 1 = 5
2x = 4
x = 2
Now, the length of the longer side of the kite can be written as,
(3x + 5) inches
= 3(2) + 5
= 11 inches
As both the long sides are needed to be covered with the ribbon, therefore, the length of the ribbon needed is,
Ribbon needed = 11 inches × 2
= 22 inches
Hence, the total length of ribbon that is needed to line the two long sides of the hat is 22 inches.
The diagram of the question is mentioned in the below image.
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