The tile is a kite, as two pairs of adjacent sides are congruent, with the same measures for each pair, x = 5, and longer side= 15 in and shorter side = 13 in.
It is defined as the four-sided polygon in geometry having four edges and four corners.
As we can see in the diagram the tile is a quadrilateral whose two pairs of adjacent sides are same.
The tile is a shape of kite.
As the one diagonal is bisected in the kite, therefore
The length 3x-6 will be equal to the length 2x-1
So, 3x-6 = 2x-1
3x-2x-6 = 2x-1-2x (subtract by 2x on both sides)
x-6+6 = -1+6 (add 6 on both sides)
x = 5
Putting x = 5 in the 2x+3, we get:
=2(5)+3 ⇒ 13 in
Putting x = 5 in the 3x, we get:
=3(5) ⇒ 15 in
Longer side length = 15 in
Shorter side length = 13 in
Thus, the tile is a kite, as two pairs of adjacent sides are congruent, with the same measures for each pair, x = 5, and longer side= 15 in and shorter side = 13 in.
Learn more about the quadrilateral here:
brainly.com/question/6321910
