Question

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? One side of the sign is 4x+3.
a. 16x2 + 12x + 9
b. 16x2 + 24x + 9
c. 8x2 + 9
d. 8x2 + 6

Answer 1

what do you know about the sides of a square?

Answer 2

what do u mean?

Answer 3

just what i asked... you know what a sqaure is, right? what can you tell me about its sides?

Answer 4

it has four sides, each are equal in length

Answer 5

excellent! and what about the area of a square?

Answer 6

length times width

Answer 7

ohhhhh

Answer 8

but for a square, length and width are...?

Answer 9

they are the same

Answer 10

man, you are on it!!!

Answer 11

so it would be (4x+3)(4x+3)

Answer 12

excellent!!! and what do you get when you multiply that out?

Answer 13

c. 8x2 + 9

Answer 14

nope

Answer 15

do you know the distributive property?

Answer 16

sorry, i coppied and pasted the wrong one from above lol...

Answer 17

a(b+c) = ab + ac

Answer 18

The right one is
b. 16x2 + 24x + 9

Answer 19

however, if a is a binomial (two terms) also, it goes like this...

suppose a = f+g

then we get ab + ac = (f+g)b + (f+g) c

and using distribution again we get...

fb + gb + fc + gc

Answer 20

there you go... you know how to multiply those out, right? you're not just guessing...

Answer 21

yeah i do

Answer 22

awesome! hey, just a hint... whenever you can draw a picture to represent what is going on in a problem, do so. make it sufficicently large and put all available info on it. we humans are visual creatures!

Answer 23

alright

Answer 24

ty so much

Answer 25

good luck and have a great day!