I split it into parts. The small rectangle sticking out is 2x3 which is a 6 and the big rectangle 4x8 which is 32. The triangle is 8x2/2 which is 8. 6+32+8 = 46
(-2,5)(9,-6)
slope(m) = (-6-5) / (9 - (-2) = -11/11 = -1
y = mx + b
slope(m) = -1
(-2,5)...x = -2 and y = 5
now we sub and solve for b, the y int
5 = -1(-2) + b
5 = 2 + b
5 - 2 = b
3 = b
so ur equation in slope intercept form is : y = -x + 3
Left side = 170-58 =121'
Bottom side = 96-4 =92'
Now let's calculate the upper oblique (slantwise) side by Pythagoras
oblique² = 92²+28² = 9248 & oblique =√9248 = 96.167'
The perimeter of the backyards = 96.167+93+92+121 = 402.167 ft
The answer is b. The others don’t make sense