The length of the rectangle is three times its width. If the width of the rectangle is reduced by 2 m, then its area will

The length of the rectangle is three times its width. If the width of the rectangle is reduced by 2 m, then its area will decrease by 42 square meters. m. Find the initial length and width of the rectangle?

Let the width of the rectangle be x (x) meters, then the length is x • 3, and the area of the figure is x • x • 3. Change the width of the figure (x – 2), then the area is calculated by the expression (x – 2) • x • 3. Knowing the difference in areas (42 meters), let’s make the equation:
x • x • 3 – (x – 2) • x • 3 = 42
x² • 3 – x² • 3 + 6 • x = 42
6 • x = 42
x = 42: 6
x = 7 (m) rectangle width
Figure length: 7 • 3 = 21 (m)
Answer: width – 7 m, length – 21 m.