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Answer:
The area of the floor plan is given by the expression 20x² - 4x - 16
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal to each other. Also all the angles of a rectangle measure 90 degrees each.
Area of a rectangle = length * breadth
Area of the floor plan = length * breadth
Area of the floor plan = (5x + 4) * (4x - 4)
Area of the floor plan = 20x² - 20x + 16x - 16
Area of the floor plan = 20x² - 4x - 16
The area of the floor plan is given by the expression 20x² - 4x - 16.
Answer:
the expression for the width is 4x + 3
Step-by-step explanation:
Area = base times width. Thus, we divide 9x - 2 into 36x^2 + 19x - 6 to find an expression for the width. Dividing 9x into 36x^2, we get 4x, which tells us that the first term of the quotient starts with 4x: (4x + ? )(9x - 2). Replacing the '?' with 3, we get:
(4x + 3)(9x - 2), which through multiplication becomess
36x^2 + 27x - 8x - 6, or 36x^2 + 19x - 6, which was the original dividend.
Thus the expression for the width is 4x + 3 (in meters).