Answer:
12√2 cm
Step-by-step explanation:
Given : The area of a square field is 36cm²
• Determining the measure of the square’s sides :
Let ‘x’ be the measure of the square’s sides :
x = √36 = 6 cm
• Calculating the sum of its diagonals :
— It’s well known that a square has 2 diagonals .
RULE : The measure of a square’s diagonal = x√2
Therefore
the sum of the diagonals = 2x√2 = 2×6×√2 = 12√2 cm
