Q:

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.

Accepted Solution

A:
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 = 282w -8 + w = 283w - 8 = 283w = 28 + 8 = 36w = 36/3 = 12 feetNow 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.