Answer:
[tex]A=2x^2+8x+6\ yards^2[/tex]
Step-by-step explanation:
Step 1, finding the dimensions:
The width of Stacy's room is x, so the length must be 2x. (Her length of the room is two times the width.)
Her sister's room is 2 yards longer and 3 yards wider than Stacy's room. We have:
Length: [tex]2x+2[/tex]
Width: [tex]x+3[/tex]
Great! Let's find the area now.
Step 2, finding the area:
The area of a rectangle is [tex]A=l*w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle. We already know both, so we can plug it in the equation:
[tex]A=(2x+2)(x+3)[/tex]
We can expand and simplify:
[tex]A=2x^2+2x+6x+6\\A=2x^2+8x+6\ yards^2[/tex]
I hope this helps! Let me know if you have any questions :)
