1. The problem says that the television has a rectangular shape. So, the formula for caculate the area of a rectangle is:
A=LxW
"A" is the area of the rectangle (A=3456 inches²). "L" is the the length of the rectangle. "W" is the width of the rectangle.
2. The <span>width of the screen is 24 inches longer than the length. This can be expressed as below:
W=24+L
3. Then, you must substitute </span>W=24+L into the formula A=LxW: <span> </span>A=LxW <span> 3456=L(24+L) 3456=24L+L</span>² <span> 4. The quadratic equation is:
L</span>²+24L-3456=0
5. When you solve the quadratic equation, you obtain:
L=48 inches
6. Finally, you must substitute the value of the length, into W=24+L:
