squares q, r,t form a right triangle with dimensions as shown in the diagram. what is the area of square Q

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

a rotation about point l

step-by-step explanation:

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