The width of a rectangle is 3 3 feet longer than two times its length, and its area is 27 27 . If you use L L to represent the length of the rectangle, then an expression representing the width is W

The expression representing the width is 3+2L

The width is 9ft

Step-by-step explanation:

Area of a rectangle = Length×width

A = L × W...(1)

Let the length be represented as L

Since the width of the rectangle is 3feet longer than two times its length, this is expressed as:

First, width is twice as long as the length i.e W = 2L

If the resulting width is now 3 feet longer, the final width of the rectangle will be expressed as:

W = 3+2L...(2)

Area (A) = 27ft

Substituting equation 2 into 1, we have;

A = L(3+2L)

A = 3L+2L²

27 = 3L+2L²

2L²+3L-27 = 0

Factorizing the resulting equation

(2L²+9L)-(6L-27) = 0

L(2L+9)-3(2L+9) = 0

L-3 = 0 and 2L+9 = 0

L = 3 and L = -9/2

Disregarding the negative value and substituting L = 3 into equation 2 to get the width

W = 3+2(3)

W = 3+6

W = 9ft

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: