Question

The area of a rectangle is 21 in2. The length of the rectangle is 6 in.

Answer 1

Given:
Area = 21 in²
length = 6 in.
width = ?

The area of a rectangle is computed by multiplying its length by its width.

A = l * w
21 in² = 6 in * w

To find width, divide the area by its length.

21in²/6in = w
3.5 in. = w.

The width is 3.5 inches.

to check:

Area = Length * Width
21 in² = 6 in x 3.5 in
21 in² = 21 in²

Answer 2

We are given:

Area = 21 inches²
Length = 6 inches
Width = x inches

We can use this formula to solve for the width:

Area = Length × Width
21 inches² = 6 inches · x inches
21 inches² = 6x inches²
21 = 6x

Now, divide both sides by 6.

21/6 = 6x/6

21/6 = x

$x=\frac{21}{6}=\frac{7\times3}{2\times3} = \frac{7}{2} =\boxed{\bf{ 3.5}}$

The width is 3.5 inches.