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Jackie plans to place a rectangular piece of art inside a rectangular frame. She considers a piece of art that is 0.5 meters long, 1.2 meters wide, and has a diagonal length of 1.3 meters.

User Lxalln
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What is the area of the art?

The area of the art is the product of its length and width:
Area = length × width
Area = 0.5 m × 1.2 m
Area = 0.6 m²

What is the perimeter of the art?

The perimeter of the art is the sum of the lengths of all its sides:
Perimeter = 2 × length + 2 × width
Perimeter = 2 × 0.5 m + 2 × 1.2 m
Perimeter = 2.4 m

What is the length of the diagonal of the frame?

The diagonal of the frame is the length of the longest side of a right triangle whose legs are the length and width of the frame. We can use the Pythagorean theorem to find the length of the diagonal:
diagonal² = length² + width²
diagonal² = 0.5² + 1.2²
diagonal² = 1.69
diagonal = √1.69
diagonal ≈ 1.3 m

Therefore, the length of the diagonal of the frame is approximately 1.3 meters.
User Miguelito
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