Question

Can someone please give answer and show how you got it please.
The width is to be 1 foot less than 2 times the height. Find the width and the height if the carpenter expects to use 26 feet of lumber to make it

Answer 1

this is a perimeter problem. The formula for the perimeter is P = 2L + 2W, with L as the length and W as the width. He has 26 feet of lumber, so the P value is 26, and you need to find the W and the L.

Answer 2

I used length instead of height. But same thing...

Answer 3

If you have a length (Or height) of L, and they tell you that they width is 1 foot less than twice the length, we can make a substitution for the width and put it in terms of the length. You do that to eliminate one of the variables. You can only solve a single equation for one unknown, and if you have an unknown width and an unknown length, you would be stuck with no place to go. So here...

Answer 4

So we can suitably make that substitution now for W, like this:

Answer 5

Solve that for L. Can you do that?

Answer 6

@IMStuck 27=6L......L=4.5?

Answer 7

height equals 14/3 width 25/3

Answer 8

The equation comes to 26 = 2L + 4L - 2
26 = 6L - 2
24 = 6L
L = 4

Answer 9

same equation as that of @IMStuck

Answer 10

The height and the width are not those numbers, though, because you didn't have the whole equation there. the answers are not 14/3 and 25/3. Not even close.