# The length of the rectum is 6 cm longer than its width. If the length is reduced by 2 cm, and the width by – 10 cm

**The length of the rectum is 6 cm longer than its width. If the length is reduced by 2 cm, and the width by – 10 cm, then the area of the rectangle will decrease by 184 cm2. Find the length and width of the rectangle.**

Let’s make an equation. Let the width be x, then the length is x + 6 cm.

We set the area of this rectangle with the letter y, to find the area of the rectangle, you need to multiply the width by the length, you get x * (x + 6) = y.

Reduce the length by 2 cm, then x + 4

Reduce the width by 10 cm, then x – 10

If we subtract the first equation from the second, then the area will decrease by 184

x * (x + 6) – (x + 4) * (x – 10) = 184

x ^ 2 + 6x – x ^ 2 + 10x – 4x + 40 = 184

12x = 144

x = 12, this is the width

12 + 6 = 18, this is the length

Area 12 * 18 = 216 cm square

Answer: width 12 cm, length 18 cm, area 216 cm