Answer:
Width = 16 cm
Step-by-step explanation:
Given that
Area of rectangle = 1024 cm²
Length of rectangle = four times the width
Let the width of rectangle be W cm
Now we know that Area of rectangle = Length × Width
Or, Area of rectangle = (4 × width ) × width
1024 cm² = 4 × W²
[tex]\frac{1024}{4}[/tex] = W²
256 = W²
∴ W = [tex]\sqrt{256}[/tex]
Or, W = 16 cm
Hence the width of given rectangle is 16 cm Answer.