9.06 Factoring using appropriate methods
Interactive practice questions
A square rug originally had a side length of $x$x inches. One of its dimensions is extended by $3$3 inches.
We can model the area of the rug as a collection of rectangles, as shown in the diagram. The square in the top-left of the diagram has a side length of $x$x inches and the short side of each rectangle is $1$1 inch.
Which expression represents the area of the rug?
$x\left(x+3\right)$x(x+3)
$x+3$x+3
$3x^2$3x2
$3x$3x
What are the areas of each type of section from the rug?
 |
has an area of $\editable{}$ in2 |
 |
has an area of $\editable{}$ in2 |
Write the total area of the rug in terms of $x$x.
Give your answer in the standard form $ax^2+bx+c$ax2+bx+c.
The original area of the surface of a square table is $x^2$x2 in2.
The original area of a square field is $x^2$x2 square feet.
A square table of side length $x$x has one of its dimensions decreased by $4$4. This can be expressed visually by the area model below.