Answer:
The area of the new rectangle is 882 in².
Step-by-step explanation:
Let l be the length and w be the width of the original rectangle,
So, the area of the original rectangle is,
A = l × w ( Area of a rectangle = Length × Width )
Given, A = 72 in²,
⇒ lw = 72 ------- (1),
Since, if the rectangle are changed by a scale factor of 3.5,
⇒ New length = 3.5 l,
And, new width = 3.5 w,
Thus, the area of the new rectangle = 3.5l × 3.5w
( From equation (1) ),
= 882 in²
You can solve a system using substitution, elimination, or graphing method.
If you solve using substitution or elimination, the variable will cancel out on both sides and you will be left with a number equal to a number. If "number = number" is a TRUE statement, then the solution is ALL Real Numbers. <em>If it is a FALSE statement, then you will have NO solutions.</em>
If you solve using the graphing method and the lines are exactly the same, then the solution is Infinite solutions (aka ALL Real Numbers). <em>If the lines are parallel, then you will have NO solution.</em>