8 points!
Anthony rode this bike from point A to point B using Cherry Street. How much FURTHER would his trip have been if he took Orange Drive and Peach Avenue instead?

a.36 yards

b.113 yards

c.28 yards

d.198 yards

c.28 yards

Step-by-step explanation:

Hi, Since the triangle is a right triangle we have to apply the Pythagorean theorem to find the lenght of Orange Dr street.

c2 = a2+b2

Where c is the hypotenuse (the longest side) and a and b are the other sides of the triangle.

Replacing with the values given

85^2 = 77^2 + b^2

7225 = 5929 +b^2

7225-5929 = b^2

1296 = b^2

√1296 = b

36 = b ( orange Dr length)

Adding the lengths of orange and Peach ave .

36+77 = 113 yards

Subtracting the length of cherry st.(85)

113 -85 = 28 yards

His trip would have been 28 yards further  

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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