Question

length of a rectangle is 6yd longer than its width. If the perimeter of the rectangle is 48 yd, find its area

Answer 1

w + 6 = l
2w +2l = 48
Solve simultaneously

Answer 2

Wanna work on this together?

Answer 3

l = 6 + w
2(6+w) + 2w = 48
sove to get l and w
then area is simply l*w

Answer 4

still dont get it

Answer 5

Then let's work together, shall we?
First of all, what letter do you want to use for our width?

Answer 6

Because you know the length is 6 units longer than the width you know that:
width + 6 = length

Answer 7

or w+6 = l

Answer 8

yep i get that

Answer 9

Alright, now tell me what perimeter equals.

Answer 10

ok, then you know that the perimeter of a rectangle is 2* width +2* length

Answer 11

Like in general, what does perimeter mean?

Answer 12

adding up all sides

Answer 13

alright, so an equation for the perimeter (which we know is 48) would be....?

Answer 14

Excellent. So L + L + W + W = perimeter, right?
Or if we combine like terms, 2L + 2W = perimeter. Does that make sense?

Answer 15

If it doesn't feel free to let me know. I can explain it more deeply.

Answer 16

makes sense!

Answer 17

Sweet!

Ok, so in the beginning we decided that
w+6 = L

L is equal to (w+6)

And now we want to say that 2L + 2W = perimeter.

Do you know what L is equal to?

Answer 18

(We don't know the exact number it equals, but give me a formula that tells us how big L is)

Answer 19

-5?

Answer 20

We haven't been told anything about that. Though, -5 would be a false value, as we can't have negative values. Hint: I actually gave you the answer in the same post where I asked you "Do you know what L is equal to?" Look carefully and you'll see what "L is equal to".

Answer 21

w+6

Answer 22

Excellent!

So, here's the thing: Anytime you see L in another formula, you can completely replace the L with (w+6)

So, what do we do here:
2L + 2W = perimeter

Answer 23

(Hint: get rid of that L by replacing it)

Answer 24

So, what did you get? I can't help if you don't reply. :P

Answer 25

l = 6 + w
2(6+w) + 2w = 48
12+2w+2w=48
12+4w=48
-12 -12
4w=36
/4 /4
w=9 yd
l=15 yd
9*15=135 yd^2
I am pretty sure that is your answer c:

Answer 26

Width=x
Length=x+6
Parameter=2(x+x+6)=48
==>x=9 and x+6=15 Area=9*15=135

Answer 27

"2(6+w) + 2w = 48"

That is what I was hoping you would go for.