Algebra Honors 2A

7. Jasmine drew a rectangle which is 143 square mm. Ethan drew a rectangle inside of Jasmine's which is 35 square mm. Ethan's rectangle has a three mm border between his and Jasmine's rectangle.What are the length and width of Jasmine's rectangle?

8.A rectangle and a square have the same area. The length of the rectangle is seventy feet more than two times its width. The length of a side of the square is thirty feet. What are the dimensions of the rectangle?

9.Four times the sum of three consecutive odd integers is seven hundred sixty-five less than three times the product of the larger two numbers. What are the three integers?

10.Suppose the real numbers a, b, and c are such that the graph of y = ax²+ bx + c is entirely below the x-axis. What can you conclude about the solution(s) of the quadratic equation ax²+ bx + c = 0?