Fido’s domain is limited by a 10-foot long leash that is tethered to the corner of his expansive 7 by 5-foot dog mansion. How much outdoor territory can Fido mark?

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Answer:

  83.5π ft² ≈ 262.3 square feet

Step-by-step explanation:

Fido's area is 3/4 of a 10' radius circle plus 1/4 each of a 3' radius and 5' radius circle.

  A = (3/4)(π(10 ft)²) +(1/4)(π)((3 ft)² +(5 ft)²)

  = (75π +34/4π) ft² = 83.5π ft² ≈ 262.3 square feet

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Answer:

approximately 262.3 square feet

Step-by-step explanation:

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