Question

Can someone please help!! I don't understand how to do this at all..
Jackie has 3 square tablecloths with each side equal to k units. For each piece, she does something different to it according to each part below:

Part A: Jackie stitched rectangular strips of cloth along two adjacent sides of the tablecloth to increase its length and width by p units each. What will be the change in the area of the tablecloth? Show your work. (4 points)

Answer 1

Part B: Jackie cut off rectangular strips from two adjacent sides of the tablecloth to decrease its length and width by p units each. What will be the change in the area of the tablecloth? Show your work. (3 points)

Part C: Jackie cut off a strip of cloth from one side of the tablecloth and pasted the strip on an adjacent side of the tablecloth to increase its length by p units and decrease its width by p units. What will be the change in the area of the tablecloth? Show your work. (3 points)

Answer 2

The first A is found by multiplyng length times width. Here in a square, the length and the width are both k, so the Area for the square is A = k * k. Get that?

Answer 3

a little bit

Answer 4

Here's what it looks like. Try and follow my lovely artwork:

Answer 5

yes

Answer 6

NOW if you add a cloth of p units to each side, you are adding p to both sides like this:

Answer 7

That is part A of your question. The new area would be (k + p)(k + p).

Answer 8

okay i understand part A now thanks

Answer 9

Do you need the rest or no?

Answer 10

yes i do

Answer 11

Note that Part A is asking not for the new area but the change in area, you of course will have to solve as IMstuck has shown, but don't forget to do what is asked for.

Answer 12

Ok, then...part B tells us that she cuts off a strip of p from both sides, like this:What is the new area formula now if the area is found by multiplying the sides together?