A rectangular 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 seen area of 425 feet squared. How wide will the sidewalk be?
so the original lawn has an area 24 × 32 = 768 the new lawn will have area 425 this means the area of the sidewalk will be 768-425=343 now the sidewalk is a certain width of we draw it out and label it x we see the lawn has an area of [tex](32 - 2x)(24 - 2x) = 425 \\ 768 - 64x - 48x + 4 {x}^{2} = 425 \\ 4 {x}^{2} - 112x + 343 = 0[/tex] use the quadratic formula to solve. then you will know how wide the sidewalk is. I will attach picture
