Question

The width of a rectangle is 14 feet less than 3 times the length. If the area is 24 fta,

find the width and length.
Width = 4 and Length = 6
Width = 2 and Length = 4
Width = 10 and Length = 12
Width = 6 and Length = 8

Answer 1

the answers will be 6=24
w=6 i think

Answer 2

Width: 4

Length: 6

Explanation:

We can create a systems of equations for this problem, assuming W is width and L is length.

W = 3L-14

WL = 24

We can substitute W into the equation.

(3L-14)L = 24

3L²-14L = 24

3L² - 14L - 24 = 0

(3L+4)(L-6)=0

L = 6

Now we can find W by substituting L into the equation.

`6\cdotw=24\\w = 4`

Hope this helped!