The perimeter of a rectangle is 42feet. The length decreased by 3times the width is 1foot. What are the dimensions of the rectangle? (what is the length and width)

Answer: Length is 16 ft. Width is 5 feet.

Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1.

"Solve" for L. L = 3w + 1

Write another equation for the formula of a perimeter. P=2L + 2w.

Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).

42 = 2 (3w + 1) + 2w. Solve this.

42 = 6w + 2 + 2w

42 = 8w + 2. Subtract 2 from both sides then divide both sides by 8.

W = 5

Substitute that into the first equation you wrote to get the Length.

L - 3 (5) = 1

L - 15 = 1. L = 1+15

L = 16