Final answer:
The length of the rectangle can be found by using the given information and applying the formula for the perimeter of a rectangle. The width of the rectangle is 6 inches and the length is 29 inches.
Step-by-step explanation:
To find the length of the rectangle, we can use the given information and the formula for the perimeter of a rectangle, which is P = 2l + 2w. Let's call the width of the rectangle w. The problem states that the length is 5 more than 4 times its width, so the length is represented by 4w + 5. The perimeter of the rectangle is given as 70, so we can substitute these values into the formula:
70 = 2(4w + 5) + 2w
70 = 8w + 10 + 2w
70 = 10w + 10
10w = 60
w = 6
Therefore, the width of the rectangle is 6 inches. To find the length, we can substitute this value back into the expression for the length:
Length = 4w + 5 = 4(6) + 5 = 24 + 5 = 29 inches.
Thus, the length of the rectangle is 29 inches, so the correct answer is c) 29in.