Answer:
I. The width is 43.5 inches.
II. The length is 24.5 inches.
Step-by-step explanation:
Let the length and width of the rectangle be L & W respectively.
Given the following data;
Perimeter of rectangle = 136 inches
Translating the word problem into an algebraic expression, we have;
L = W - 19 ......equation 1
Perimeter of rectangle = 2(L + W) ......equation 2
To find the dimensions of the rectangle;
136 = 2(L + W)
Substituting eqn 1 into eqn 2, we have;
136 = 2(W - 19 + W)
136 = 2(2W - 19)
136 = 4W - 38
4W = 136 + 38
4W = 174
W = 174/4
W = 43.5 inches
To find the length;
L = W - 19
L = 43.5 - 19
L = 24.5 inches
