The dimensions, in centimetres, of this rectangle are shown as algebraic expressions.Work out the length and width of the rectangle.(6 marks)

The length of a rectangle is $$6 more than its width.Write an algebraic expression for the length of the rectangle in terms of its width, $$w.

The perimeter of a rectangle is   units. Its width is   units.Write an equation to determine the length   of the rectangle.

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 5 and the width is 21. For this set of rectangles, calculate the width of a rectangle whose length is 35.

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Calculate the area of the rectangle shown.HINT: The formula for the area of a rectangle is length × width.View Image Description18 units squared20 units squared12 units squared15 units squared