Answer: Two sides are 7in, and the two other sides are 9.5 in.
Step-by-step explanation:
Since there are two sides that will be longer than the other two, 2.5 will be subtracted twice:
33in -2.5in -2.5in = 28in
Since there are 4 sides, 28in is divided by 4:
28in/4 = 7in
To find the 2 larger sides, add 2.5 back to the side length:
7in +2.5in = 9.5in
Parallelogram is a closed shaped quadrilateral in which the opposite sides are equal and parallel. The length of the parallelogram tile of the shorter side is 7 in and the length of the longer side is 9.5 in.
A store sells tiles in the shape of a parallelogram.
The perimeter of each tile is 33 inches.
One side of each tile is 2.5 inches longer than another side.
Parallelogram is a closed shaped quadrilateral in which the opposite sides are equal and parallel. As the opposite sides are equal in parallelogram thus the perimeter of the parallelogram is twice the sum of the two different sides.
Let l be the length of the shorter side. Thus longer side will be (2.5+l ).
Now the perimeter [tex]P[/tex] of the parallelogram tile can be given as,
[tex]P=2[l+(2.5+l)}[/tex]
[tex]33=4l+5[/tex]
[tex]4l=33-5[/tex]
[tex]l=\dfrac{28}{4}[/tex]
[tex]l=7[/tex]
Thus the length of the parallelogram tile of the shorter side is 7 in and the length of the longer side is 9.5 in.
Learn more about the perimeter of the parallelogram here;
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