Question

A rectangle has a length that is 4 units longer than the width. If the width is increased by 7 units and the length increased by 5 units, write and equivalent expression for the area of the rectangle

Answer 1

Answer:

The expression for Area of rectangle is $x^2+16x+63$.

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 = $x+4\ Units$

If the width is increased by 7 units.

New Width of the rectangle = $x+7\ Units$

Also the length increased by 5 units,

New Length of rectangle will be = $x+4+5 = x+9\ Units$

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 = $(x+7)\times(x+9)$

On Solving the equation we get;

Area of rectangle = $x^2+9x+7x+63=x^2+16x+63$

Hence the expression for Area of rectangle is $x^2+16x+63$.