Answer:
The area of square Q is 441 m² ⇒ C
Step-by-step explanation:
Let us use the right triangle to find the side of square Q
∵ The length of the side of square T = 29 m
∴ The length of the hypotenuse of the right triangle = 29 m
∵ The length of the side of square R = 20 m
∴ The length of leg1 of the right triangle = 20 m
∵ (leg1)² + (leg2)² = (hypotenuse)² ⇒ Pyathagoras Theorm
∴ (20)² + (leg2)² = (29)²
∴ 400 + (leg2)² = 841
→ Subtract 400 from both sides
∴ (leg2)² = 441
→ Take √ for both sides
∴ leg2 = 21
∵ Leg2 is the side of the square Q
∴ The length of the side of square Q = 21 m
∵ Area of the square = side × side
∴ Area of square Q = 21 × 21
∴ Area of square Q = 441 m²
∴ The area of square Q is 441 m²
