the length of a rectangle is one foot more than twice its width. If all sides were increased by 7feet the perimeter of the new triangle would be 122 ft. find the new dimensions of the new rectangle
original:
width --- x
length -- 2x+1
new rectangle:
width = x+7
length = 2x+1 + 7 = 2x+8
2(x+7) + 2(2x+8) = 122
6x + 30 = 122
6x=92
x = 92/6 = 46/3 = 15 1/3 feet
new rectangle:
width = x+7 = 46/3 + 7 = 67/3
length = 2x+8 = 116/3
check: 2(67/3) + 2(116/3) = 366/3 = 122