Answer:
x = 6 cm
Step-by-step explanation:
Area of T = 269.5 cm²
Area of S = 22 cm²
Length of side of T = 21 cm
Length of side of S = x
Area of T : Area of S = square of length side of T : square of length side of S (x)
Thus:
269.5/22 = 21²/x²
Cross multiply
x² × 269.5 = 21² × 22
x² × 269.5 = 9,702
Divide both sides by 269.5
x² = 9,702/269.5
x² = 36
x = √36
x = 6 cm