A rectangle has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one vertex is the point (-5,-7), and the origin is in the interior of the rectangle, find the vertex of the rectangle that is opposite is (-5,-7)

Answer:The answer to your question is (1, 1)Step-by-step explanation:Area = 48 u²Perimeter = 28 unitsFormulaArea = base x height = b x hPerimeter = 2 base+ 2 height = 2b + 2hSolve equations             b x h = 48             2b + 2h = 28             b = 48/h             2(48/h) + 2h = 28             96/h + 2h = 28             96 + 2h² = 28h             2h² - 28h + 96 = 0             h² - 14h + 48 = 0             Factor this polynomial             (h - 8) (h - 6) = 0             h₁ = 8    h₂ = 6Base     b = 48/h              b₁ = 48/8  = 6              b₂ = 48/6 = 8If height = 8              New vertex = (1, 1)If height = 6             New vertex = (3, -1)But, we know that the origin is inside the rectangle, so the answer is (1, 1)