In a certain rectangle, the length is six yards more than the width. If they length is increased by 25 yards and the width is decreased by one yard, the pine tee of the new rectangle will be twice tha

Answer 1

... the perimeter will be twice that of the original ????

Length = w + 6

Perimeter is 2w + 2(w+6) = 2w + 2w + 12 = 4w + 12

Increases the length by 25 and decreases the width by 1

Length = w + 31

width = w-1

2(w+31) + 2(w-1) = 2 (4w+12)

2w + 62 + 2w - 2 = 8w + 24

4w + 60 = 8w + 24

60 - 24 = 8w - 4w

36 = 4w

w=9

width is 9, length is 15, perimeter is 48

width is 8, length is 40, perimeter is 96

YES!