A rectangle length is 1 less than 3 times its width. Its perimeter is 70 yards. Write a model (the equation), identify the variable(s), and solve for the smallest possible dimensions for the rectangle.

L=3W - 1

2L+2W = 70

W=9, L=26

Step-by-step explanation:

Plug in the equation for length (L) for L in the equation for the perimeter and solve.

2(3W - 1) +2W = 70

6W - 2 +2W = 70

8W - 2 = 70

8W = 72

W=9

Plug in W in the equation for perimeter and solve for L.

2L+ 2(9) = 70

2L +18 = 70

2L = 52

L = 26

To check for correctness, plug in values W & L into the equation for length.

26 = 3 (9) - 1

26 = 27 -1

26 = 26

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

step-by-step explanation: