Problema Solution
The height of a floor standing speaker is five times it's width. The perimeter of it's front panel is 84 in. Find the height and width of the speaker.
Answer provided by our tutors
let h be the height, w be the width, and p be the perimeter of the speaker.
We know that
h = 5w
also
p = 2h + 2w (perimeter of rectangular shape)
p = 2(5w) + 2w
p = 10w +2w
p= 12w
84 = 12w
=> w = 7
also
h = 5w = 5(7)
h = 35