Translate to a quadratic equation, then solve using the quadratic formula. The length of a rectangular air filter is 3 inches less than twice the width. Find the length and width of the filter if the area is 527 square inches.

Width of the rectangle = 17 inches

Length of the rectangle = 31 inches

Step-by-step explanation:

Let w be the width of the rectangle.

Given:

Width of the rectangle = w

Length of the rectangle = 2w - 3

Area of the rectangle

Solution:

We know that the area of the rectangle.

Now, we first find the root of the above equation.

Use quadratic formula with .

Put a, b and c value in above equation.

For positive sign

w = 17 inches

So, width of the rectangle is 17 inches.

Length of the rectangle.

Length = 31 inches

So, length of the rectangle is 31 inches.

Therefore, width and length of the rectangle is 17 inches and 31 inches.