Question

Write an expression to represent the length is 6 feet longer than the width

Answer 1

L = w + 6

Explanation:

We need to write an expression for the length.

We know that the length is 6ft longer than the width.

Make your expression:

We will represent length as "L" and width as "w".

L = w + 6

This would be our expression since we know that no matter what, the length will be 6ft more than the width, therefore you would add 6 to the width to get your length.

Answer 2

Explanation:

Let l be the length of the room, and w be the width.

If the length is 6 feet longer than twice the width, then we can say l = 2w+6

Knowing that the formula for the perimeter of a rectangle is P = 2l+2w, and knowing that P=144 ft, we can say that 2L + 2w= 144 ft.

To find the dimensions, we plug our value for l into our perimeter equation

This gives us the following equation: 144= 2(2w+6) + 2w, which simplifies to 144=4w+12+2w, which further simplifies to 144= 6w+12

To get w on one side of the equation, we subtract 12 from each side, which gives us 132=6w

Dividing each side by 6, we determine that w= 22 ft.

Plugging this value back into our first equation we see that l= 2(22)+6

So l= 50 ft.

So, the dimensions of the room are as follows: length is 50 ft., width is 22 ft.