Question

shane drew a square with each side equal to n units:
part A: shane increased the length and width of of the square by m units. what will be the change in the area of the original square?
part B: shane decreased the length and width of the of the square by m units. what will be the change in the area of the square?
part C: shane increased the length of the square by m units and decreased its width by m units. what will be the change in the area of the square?

Answer 1

shane drew a square with each side equal to n units:

what is the area of his square ?

Answer 2

area of a square is s*s where s is the length of one of its sides

the length of his square is n. what is the area ?

Answer 3

im kinda confused with this question

Answer 4

yes, but can you answer the question: if the square has a side of length n, what is its area ?

Answer 5

Here is a list of formulas to find the area of various shapes
http://www.mathsisfun.com/area.html

Answer 6

n^2?

Answer 7

yes, a square with sides= n has area n*n or n^2

next, we need to figure out this means
increased the length and width of of the square by m units

any ideas ?

Answer 8

found you do the problem if it used numbers? say the side was 3 inches and he increased it by 2 inches. what is the length ?

Answer 9

5 inches

Answer 10

how did you get that ? you did 3+2 and then simplified it to 5

if you start with length n and increase by m, we do the same thing: n+m (but we can't simplify it to a number)...

Answer 11

okay im starting to understand

Answer 12

part A: shane increased the length and width of of the square by m units

what are the new length and width ? Remember both the length and width started out as n

Answer 13

shane increased the length by m units
what is the new length ?

shane increased the width by m units
what is the new width ?

Answer 14

m^2?

Answer 15

no. review up above. if you start with length n and increase by m, we write it as n+m

Answer 16

okay so n+m = nm? or nm^2

Answer 17

Don't jump to conclusions. work with simple ideas, and build up.

All you have to learn right now is: if you start with a side = n and increase it by m
(in numbers, we start with side=3 and increase by 2) we add: n+m (in numbers 2+3)

the new length is (n+m)
the new width is also (n+m)

Answer 18

next, we want to figure out the area of the new (bigger) square.
what is the formula to find the area of a square whose sides = (n+m)

Answer 19

(n+m)^2

Answer 20

yes

Answer 21

we can write that as (n+m)(n+m)
can you expand that ? (multiply it out ?)

Answer 22

uuhh I don't think so

Answer 23

see
http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplying-binomials/v/multiplication-of-polynomials

Answer 24

confused..

Answer 25

I don't see how i multiply it out

Answer 26

im just going to re open this question