Answer:
34.5 cm
Step-by-step explanation:
Perimeter of rectangle = Length + Length + Width + Width
= 2Length + 2 Width
given width = 28 cm, equation becomes
Perimeter = 2Length + 2(28)
Perimeter = (2L + 56) ----(eq1)
we are also given that the perimeter is no more than 125cm
this means that the perimeter is less than or equal to 125 cm i.e,
perimeter ≤ 125 cm
combining this with (eq 1) above,
(2L + 56) ≤ 125
2L + 56 ≤ 125 (subtract 56 from both sides)
2L ≤ 125 - 56
2L ≤ 69 (divide both sides by 2)
L ≤ 69 / 2
L≤ 34.5
hence the largest possibel length is 34.5 cm