Answer:
40 cm
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{4x}{x}[/tex] = [tex]\frac{48}{x+2}[/tex], simplifying gives
4 = [tex]\frac{48}{x+2}[/tex]
Multiply both sides by (x + 2)
4(x + 2) = 48 ( divide both sides by 4 )
x + 2 = 12 ( subtract 2 from both sides )
x = 10
Hence
width = 4x = 4 × 10 = 40
