The perimeter of a rectangle is 78 units. the length is 5 units more than 3 times the width. find the length and width of the rectangle.

W = 8.5 units; L = 30.5 units

Step-by-step explanation:

The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively.  Here, L = 3W + 5.  Adapting the formula P = 2L and 2W, we get:

78 = 2L + 2W  =  2(3W + 5) + 2W, or

6W + 10 + 2W = 78, or

8W = 68, or W = 68/8 = 8.5 units

If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right