Answer:
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.
