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

Answer 1

The area that he can marke is equal to the area of the circle with a 10 foot radius (100pi) less the area of the dog house (7 x5 =35)

So answer is 100pi-35= 279.16 sq ft

Answer 2

It is essential to draw a figure.

The area will be the sum of 4 parts

1> 1/4 of the circle

2> a square 7X7

3> the integral of sqrt(100-x²) from 7 to 10

4> the integral of sqrt(100-x²) from 0 to 5

If you don't know how to get the integral you need, please let me know and I will help you further.