Answer:
width = 8 cm
length = 40 cm
Step-by-step explanation:
let's take the width of the rectangle be x
length = 4x + 8
now,
perimeter = 2 × ( length + width )
=》P = 2 × ( 4x + 8 + x )
=》P = 2 × ( 5x + 8 )
=》P = 10x + 16
now, we know perimeter = 96 sq.cm
so,
=》10x + 16 = 96
=》10x = 96 - 16
=》x = 80 ÷ 10
=》x = 8
since, width = x , so width = 8 cm
length = 4x + 8 = (4 × 8) + 8
= 32 + 8 = 40 cm