The formula for the area of a rectangle is:

Area of a rectangle= L*W

Where:

L signifies Length; and

W signifies Width

From the question we can assume that:

Width= X

And as length is three times the width:

Length= 3X

In the question we are given:

Area= 432 inches

Area = L * W

432 = 3X * X

Multiplying:

432= 3X

Making X the subject of the formula, we shift 3 to the other side by dividing 432 by it. We get:

432/3 = X

144 = X

So

X = 12

As we supposed the Width to be 'X'; the width of the rectangle is 12 inches

To find the length, simply plug in the value of X in the equation we made for the length above. So:

Length = 3X

Length = 3*12

Length = 36

So the length of the rectangle is 36 inches

Area of a rectangle= L*W

Where:

L signifies Length; and

W signifies Width

From the question we can assume that:

Width= X

And as length is three times the width:

Length= 3X

In the question we are given:

Area= 432 inches

^{2}To find the dimensions lets start off by plugging in the values in the formula for the area of a rectangle. Hence:Area = L * W

432 = 3X * X

Multiplying:

432= 3X

^{2}Making X the subject of the formula, we shift 3 to the other side by dividing 432 by it. We get:

432/3 = X

^{2}144 = X

^{2}So

X = 12

As we supposed the Width to be 'X'; the width of the rectangle is 12 inches

To find the length, simply plug in the value of X in the equation we made for the length above. So:

Length = 3X

Length = 3*12

Length = 36

So the length of the rectangle is 36 inches