Becca is stringing a 28-foot floral garland along the 2 sides and top of a rectangular pergola to prepare for a wedding. the height of the pergola is 4 feet less than the width. find the height and width of the pergola.

height and width of pergola are 12 feet and 8 feet.

Step-by-step explanation:

Total length of floral garland is 28 feet.

This garland is being stringed along 2 sides and top of the rectangular pergola.

Height of pergola is 4 feet less than the width.

Let height of pergola is h and width is w then h = w - 4 (1)

and h + h + w = 28

        2h + w = 28

        2h + w = 28 (2)

Now we replace h = w - 4 from equation (1) to equation (2)

2(w-4) + w = 28

2w -8 + w = 28

3w - 8 = 28

3w = 28 + 8 = 36

w = 36/3 = 12 feet

Now we put the value of w in equation (1)

h = 12 - 4

  = 8 feet.

Therefore, height and width of pergola are 12 feet and 8 feet.

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