Question

A rectangular garden has length and width as given by the expressions below.

Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
__ -__x-__y-__xy

Answer 1

`P = 8 - 42x + 56y + 12xy`

Explanation:

Given

`Length = 4 - 7(3x + 4y)`

`Width = 3x(2y)`

Required

The perimeter (P)

This is calculated as:

`P = 2 * (Length + Width)`

`P = 2 * (4 - 7(3x + 4y) + 3x(2y))`

Open bracket

`P = 2 * (4 - 21x + 28y + 6xy)`

Open bracket

`P = 8 - 42x + 56y + 12xy`