Question

The top of a picnic table has a width represented by 2x in inches. It has an area represented by the expression 6x2 – 14x in square inches. Which expression represents the length of the top of the picnic table? 6x2 – 12x 3x2 – 7x 3x – 7 6x2 – 16x

Answer 1

So length of top of table is 3x-7 inches.

Explanation:

Here we are given that the top of the table has a width that is given by 2x inches.

The area of the top is given by:

`Area=6x^(2)-14x`

Now the top of the table is of the shape of rectangle and area of rectangle is given by:

`A=l*w`

where l is length of the table and w is width of the table.

Plugging the values of A and w in the formula we have:

`6x^(2)-14x=l*2x`

Dividing by 2x,

l=3x-7 inches

So length of top of table is 3x-7 inches.