SOLUTION: 1. the perimeter of a rectangular carpet is 70 feet.the width is three-fourths the lenght.find the width. 2. the lenght of a rectangular room is six times as long as the width. th

Click here to see ALL problems on Rectangles

Question 132139: 1. the perimeter of a rectangular carpet is 70 feet.the width is three-fourths the lenght.find the width.
2. the lenght of a rectangular room is six times as long as the width. the perimeter is 84 yards. find the width.
3. the width of a rectangle is 12 units less than the lenght. the perimeter is 108 units. find the lenght.
4. the lenght of a rectangular picture is seven inches longer than the width. find the lenght and width if the perimeter of the picture is 62 inches.
once again thank you so much.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1. the perimeter of a rectangular carpet is 70 feet.the width is three-fourths the lenght.find the width.
P = 2(l + w)
70 = 2(l + (3/4)l]
35 = (7/4)l
l = 20
w = (3/4)20 = 15
-----------------------------
2. the length of a rectangular room is six times as long as the width. the perimeter is 84 yards. find the width.
84 = 2[w + 6w]
42 = 7w
w = 6
length = 36
-----------------------
3. the width of a rectangle is 12 units less than the lenght. the perimeter is 108 units. find the lenght.
108 = 2[l + (l-12)]
54 = 2l-12
2l = 66
l = 33
width = 33-12 = 21
-------------------------------
4. the lenght of a rectangular picture is seven inches longer than the width. find the lenght and width if the perimeter of the picture is 62 inches.
62 = 2[w + w+7]
31 = 2w+7
2w = 24
w = 12
l = 12+7 = 19
---------------------
Cheers,
Stan H.