The length of a rectangle is 1 ft less than 3 times the width. The area is 310 ft². Find the dimensions of the rectangle.
If multiplying choose '× or x' EX: 2 ×310
If dividing choose '÷ or /' EX: 2= 3/193
The length of a rectangle is 1 ft less than 3 times the width.The area is 310 ft². Find the dmnsion
- Posted:
- 3+ months ago by Kittycat232
- Topics:
- area, time, dimension, length
Details:
Responses (1)
Given: L = 3W - 1
Given: LW = 310
Substitute L into the other equation.
W(3W - 1) = 310 Evaluate.
3W^2 - W - 310 = 0
Quadratic equation time.
Negative b is the place to start,
Plus or minus will show you're smart,
The radical sits so gent-i-ly,
On b square minus 4ac
Now we're done ... except to say,
The whole thing sits on top of 2a
W = (1± √(1 + 3720))/6 = (1± 61)/6 = -10,10.333
L = -31, 30
Math is only valid when it describes reality. Both answers are valid, as you can verify. Your rectangle can measure 10 1/3 feet to the right and 30 feet up, or 10 feet to the left and 31 feet down. Both match the given conditions.