Problema Solution
The length of a rectangular rug is the twice its width. The rug is centered in a rectangular room. Each edge is 3 feet from the nearest wall. If the area of the rug is 98ft squared , what is the are of the room?
Answer provided by our tutors
let
l = the length of the rug, l>0
w = the width of the rug, w>0
l + 2*3 = l + 6 = the length of the room
w + 2*3 = w + 6 = the width of the room
the length of a rectangular rug is the twice its width:
l = 2w
the area of the rug is 98 ft squared:
l*w = 98
plug l = 2w into the last equation:
2w*w = 98
by solving we find:
w = 7 ft
click here to see the step by step solution of the equation:
l = 2*7 = 14 ft
l + 6 = 14 + 6 = 20 ft the length of the room
w + 6 = 7 + 6 = 13 ft the width of the room