Question

Audrey weaved a blanket. The area of the blanket is 36x2 + 19x - 6 meters

while its length is 9x – 2 meters. Find the expression for the width of the blanket.

Answer 1

the expression for the width is 4x + 3

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).

Answer 2

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.