Answer:
The dimension of the rectangle is 19mm by 73mm
Step-by-step explanation:
In this question, we are tasked with calculating the dimensions of the rectangle given the information in the question.
Let the width of the rectangle be x, we are told that length is 3mm less than four times width
Mathematically this means l = 4x - 3
Now we are given the area, what this means is that when we multiply the width and the length, we get the area value
Thus, mathematically
x(4x - 3) = 1,387
4x^2 - 3x = 1387
4x^2 - 3x - 1387 = 0
Solving the quadratic equation, we have;
x = 19 or -73/4
since length cannot be negative, we ignore -73/4
Now the length = 4x - 3 = 4(19) - 3 = 73mm
Thus the dimension of the rectangle is 19mm by 73mm
