Arectangular lawn is 24 feet wide by 32 feet long. a sidewalk will be built along the inside edges of all four sides. the remaining lawn will have an area of 425 square feet. how wide will the walk be

Area of the rectangular lawn = 24 x 32 = 768 ft²

Given that the area of the remaining lawn = 425 ft²

Area of the walkway = 768 - 425 = 323 ft²

Let the width of the walkway be x.

Area of walkway = 2(32x) + 2(24x) - 4(x)² = 64x + 48x - 4x² = 112x - 4x²

112x - 4x² = 232 
4x² - 112x + 232 = 0
(2x - 49) (2x - 7) = 0 
x = 49/2 or x = 7/2
x = 24.5 (rejected, it cannot be bigger than the width) or x = 3.5

The width of the walkway is 3.5 feet.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

b. 2/3