Question

The owners of the rectangular swimming pool in the illustration want to surround the pool with a crushed-stone border of uniform width. They have enough stone to cover 78 square meters. How wide should they make the border? (Hint: The area of the larger rectangle minus the area of the smaller is the area of the border. Assume a 29 m and bum) m meters meters

Answer 1

bol? redang " = Area (larg ngh) Area of the border 4)-Areal smaller rectangle = (a+2w)(6+20) - (a) (b) = ab +2 w(a+b)+4w² - ab =2(a+b) +4 02 2 w(29+8) + 4 w2 > 78=402+74 w 4 w2+74w -78=0 - 4u²+78w-40-78=0 » 2 w(2w +39) – 2w+39)=0 → (26-2) (2W +39) = 0 = 2w-2=0 w=1 ANS: