Answer:
height = 35"
width = 110"
Explanation:
A hotel purchases a large photo for its newly renovated lobby. The perimeter of the photo is 290 in. The width is 5 in. more than three times the height. Find the dimensions of the photo.
height = h
w = 3h + 5"
perimeter = 2h + 2w
so:
2h + 2(3h+5) = 290
2h + 6h + 10 = 290
subtract 10 from both sides:
2h + 6h + 10 -10 = 290 - 10
2h + 6h = 280
combine left side:
8h = 280
divide by 8:
8h/8 = 280/8
h = 35"
So:
height = h = 35"
width = 3(35) + 5 = 110"
check:
perimeter = 2h + 2w
= 2(35) + 2(110)
= 70 + 220
= 290"