The area of a rectangle is 33 m2, and the length of the rectangle is 5 m less than double the width. find the dimensions of the rectangle.

By definition, a rectangle is a quadrilateral (4-sided polygon) containing two sets of equal and parallel sides called the length and the width. For determining the area of a rectangle, you simply have to multiply length times width. In this problem, let L be the length and W be the width. Then, we formulate the two independent formulas: formula for area, and formula relating L and W

A = LW = 33

L = 2W-5

Substituting the second equation to the first,

A = 33 = (2W - 5) W

33 = 2W² - 5W

2W² - 5W - 33 = 0

W = 5.5 and - 3

Since the equation is quadratic, there are two possible roots: 5.5 and - 3. However, we can only use the positive value. Thus, W=5.5 m. Consequently,

L = 2 (5.5) - 5

L = 6 m

Therefore, the dimensions of the rectangle is 6 m by 5.5 m.