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

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

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)*(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`.