Samuel and his brother were playing soccer in the basement, and one particularly strong kick punctured a hole in the wall. The hole can almost be hidden by a 4 in. by 6 in. unframed picture, so Samuel thinks it will be completely hidden by the picture after it’s framed. Samuel hasn’t purchased the frame yet. Write a polynomial to represent the total area of the picture after it is framed. With the frame, the sides are (2x + 4) and (2x + 6).

The polynomial representing the total area of the picture after it is framed is

Step-by-step explanation:

The area of the frame  can be found by using the area formula for the rectangle

we also have the sides of the framed picture

let (2x+6) be the length and (2x+4) be the width

Then area  of the framed  picture = length x breadth

On substituting the sides

Area  of the framed  picture =

Area  of the framed  picture =

Area  of the framed  picture =

hello! just here for points! though i wish i knew!

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

contact me if you have any questions you are welcome.