Answer:
The expression for Area of rectangle is [tex]x^2+16x+63[/tex].
Step-by-step explanation:
Given:
A rectangle has a length that is 4 units longer than the width.
Let the width of the rectangle be 'x' Units.
Length of rectangle will be = [tex]x+4\ Units[/tex]
If the width is increased by 7 units.
New Width of the rectangle = [tex]x+7\ Units[/tex]
Also the length increased by 5 units,
New Length of rectangle will be = [tex]x+4+5 = x+9\ Units[/tex]
We need to write an equivalent expression for area of the rectangle.
Area of rectangle is given by length times width.
framing in expression form we get;
Area of rectangle = [tex](x+7)\times(x+9)[/tex]
On Solving the equation we get;
Area of rectangle = [tex]x^2+9x+7x+63=x^2+16x+63[/tex]
Hence the expression for Area of rectangle is [tex]x^2+16x+63[/tex].
