Question

The area of a rectangle is 12 square inches. The length is 5 more than twice the width. Find the length and the width.

Answer 1

You wanna try write out the equation?

Answer 2

F(12)=5+x ?

Answer 3

Not quite :D

Answer 4

So you have from the text that:
length = 2*width+5
length*width=12

Answer 5

12(2)+5?

Answer 6

Do you know how to solve quadratic equations?

Answer 7

3.5x2=7+5=12 ?

Answer 8

Do you?? This question was a bit longer than the previous one

Answer 9

no

Answer 10

I solved it using quadratic equation, but if don't you know that this exercise might be a bit hard??

Answer 11

length = l, width = w
l = 2w+5 (1.)
l*w = 12 (2.)

(2.) => l = 12/w plugging into (1.) gives
12/w = 2w+5
12 = w(2w+5)
12 = 2w^2+5w
6 = w^2+2.5w

w=1.5 or -4 (but -4 is not possible since it's a length)
l = 2*1.5+5 = 8

So length = 8, width = 1.5

Answer 12

Other than that, I think you just have to guess something that works...

Answer 13

ok i think your steps will help it is starting to come back i have not done this type work for about 10 years

Answer 14

10 years is a loooooooong time :D

Answer 15

yeah it is

Answer 16

To clarify, I expressed length in width (l=12/w), so that I could solve for width. After simplifying, I got w^2+2.5w-6, which is a quadratic equation I solved using the quadratic formula. Then I could solve for l.

Answer 17

ok thank you i have one more for you.

Answer 18

The area of a rectangle is 28 square inches. The length is 8 more than thrice the width. Find the length and the width.

Answer 19

That's pretty much the same exercise, just with other numbers

Answer 20

28w=3w=8

Answer 21

28w=3w+8 sorry

Answer 22

It's not that simple, I'm afraid. You have to use the same method I did solving the other one.

Answer 23

This is how you interpret the text, though:

Answer 24

"The area of a rectangle is 28 square inches."
- Area equals length multiplied by width. So A = l*w. This means 28 = l*w.

"The length is 8 more than thrice the width. Find the length and the width."
- Length is 8 more than 3*width. So l = 8+3*w.

You get the two equations:
l*w=28
l=8+3w

Answer 25

Huh, all I was typing just disappeared :(

Answer 26

oh that sucks i am sorry for being an inconveniance

Answer 27

You can solve it with the same method I did though if you just follow step-by-step and just keep track of the differing numbers

Answer 28

But I have to leave now, good luck though

Answer 29

thanks