Alright, lets get started.
(A) The total length of backyard is = [tex] 8 + 9 = 17 ft [/tex]
The total width of backyard is = [tex] 5 + 3 = 8 ft [/tex]
Hence total area of backyard = [tex] length * width [/tex]
Hence total area of backyard [tex] = 17 * 8 = 136 [/tex] square feet
Now area of Patio [tex] = 5 * 8 = 40 [/tex] square feet
Now area of walkway [tex] = 3 * 8 = 24 [/tex] square feet
Now area of garden [tex] = 6 * 3 = 18 [/tex] square feet
Total area of Patio, walkway and garden [tex] = 40 + 24 + 18 [/tex]
Total area of Patio, walkway and garden [tex] = 82 [/tex] square feet
So, percent of the total area of Hal’s backyard is taken up by the patio, walkway, and garden = [tex] \frac{82}{136} * 100 [/tex]
percent will be [tex] = 60.3 [/tex] %
Means 60 % : Answer (A)
(B) One longer side of Hal’s backyard lies next to the back of his house.
So, he not need to built fence on this side.
So, rest three sides he needs fencing.
The length of rest three sides will be [tex] = 17 + 8 + 8 [/tex]
length of three sides = 33 ft
For 1 feet, it takes = $ 9.75
So, for 33 ft, it take = [tex] 33*9.75 = 321.75 [/tex]
Hal spent $ 321.75 for his new fence. : Answer (B)
Hope it will help :)
