Final answer:
To find the dimensions of the rectangle, we can use the formulas for area and perimeter and solve the equations simultaneously.
Step-by-step explanation:
To find the dimensions of a rectangle with an area of 56 square inches and a perimeter of 30 inches, we can use the formulas for area and perimeter. Let's assume the dimensions of the rectangle are length (L) and width (W).
Given the area of the rectangle is 56 square inches, we can set up the equation LW = 56. And given the perimeter of the rectangle is 30 inches, we can set up the equation 2L + 2W = 30.
Solving these two equations simultaneously, we can find that the dimensions of the rectangle are 7 inches by 8 inches. Therefore, the correct answer is option c) 8 in. x 7 in.