Question

69 of 77 (77 complete) X 18.2.51 The Soule's live on a corner lot. Often, children cut across their lot to save walking distance. The diagram to the right represents the comer lot. The children's path is represented by a dashed line. Approximate the walking distance that is saved by cutting across their property Instead of walking around the lot 20 feet The walking distance that is saved by cutting across the lot is not

Answer 1

С ra 2+4 b. so, by pythogoras theorem, distance that is klalking distance saved (dashed line) = 20 feet = x (ist side of plot) bc =x+4 side of plot) from given, figure, Lb=go' so, Here, ac - ab (2nd aca 2 = ab? tbre (a)² (20) 400 = + 6+4)2 of x 480 + 16 2 d? 400 = 2 x² +82 +16 2 2 2 + 80+ 16-400=0 2 1 +82-384 =0 2 +424-192=0 as, -192 2 16 -12. x of 168-12x-1920 x(x+16) - 12(x + 16) = 0 (21-12) (+16)=0 X-12=0 U+16-0 C Scanned with CamScanner = 12 25-16

But, length never be negative. x= 12 ab=0=12 br=2+4=12+4=16 so, Total distance sa saved cab+bc)-ac =(12+16) - 20 = 28- 20 Hence, total distance saved ts 8 feet, Scanned with CamScanner