Answer:
the perimeter of the kite is approximately 109.8 inches.
Explanation:
The frame of the kite is made from two strips of wood, one 27 inches long and one 18 inches long.
To find the length of the other two sides, we need to consider the shape of a kite. A kite has two pairs of adjacent sides that are equal in length.
Since the 27-inch strip of wood is longer, it will be used for the longer diagonal of the kite, and the 18-inch strip will be used for the shorter diagonal.
The length of the longer diagonal can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the longer diagonal is the hypotenuse, and the two strips of wood are the other two sides.
So, we can find the length of the longer diagonal by finding the square root of the sum of the squares of the two strips of wood:
√(27^2 + 18^2) ≈ 32.4 inches (rounded to the nearest tenth)
Since the longer diagonal and the shorter diagonal are equal in length, the length of the shorter diagonal is also approximately 32.4 inches.
Now, we can calculate the perimeter by adding up the lengths of all four sides:
27 + 18 + 32.4 + 32.4 ≈ 109.8 inches (rounded to the nearest tenth)