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We have w/h = 3/4 and 2w + 2h = 28 in;
Then, w = 3h/4;
2x(3h/4) + 2h = 28;
3h/2 + 2h = 28;
3h + 4h = 56;
7h = 56;
h = 8 in;
w = 24/4;
w = 6 in.

Sides of a parallelogram are equal to [tex]\boldsymbol{6}[/tex] inches and [tex]\boldsymbol{8}[/tex] inches if ratio of sides is [tex]3:4[/tex] and perimeter is equal to [tex]28[/tex] inches.

Parallelogram

A basic quadrilateral with two pairs of parallel sides is known as a parallelogram.

Ratio of two sides of a parallelogram [tex]=\boldsymbol{3:4}[/tex]

Let the sides be [tex]3x,4x[/tex].

Perimeter of a parallelogram [tex]=\boldsymbol{28}[/tex] in.

Perimeter of a parallelogram is equal to sum of all the sides.

[tex]3x+4x+3x+4x=28[/tex] in.

                       [tex]14x=28[/tex] in.

                           [tex]x=2[/tex] in.

So, sides are equal to [tex]3(2),4(2)[/tex] that is sides are equal to [tex]\boldsymbol{6}[/tex] inches and [tex]\boldsymbol{8}[/tex] inches.

Find out more information about parallelogram here:

https://brainly.com/question/1563728?referrer=searchResults

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