Question

The width of the top of a letter box is 6 inches. The area of the top of the box is 48 square inches. What is the length and the perimeter of the top of the box?

Answer 1

Length = 8 in. Perimeter = 28 in.

Explanation:

The equation for finding area is: A = l*w

Let's put the values we already know into the equation

48 = l * (6)

Divide both sides by 6 to isolate the l

8 in. = l

We know this answer is correct because 8 * 6 = 48

Now that we know that the length is equal to 8, we can solve for the perimeter.

To find the perimeter you have to add the values of all of the sides together.

Since we know that the top of a letter box is in the shape of a rectangle, we know that two of the sides are 6 in. and the other two sides are 8 in.

6 + 6 + 8 + 8 = 28 in.

Answer 2

Answer: length = 8 inches

Perimeter = 28 inches

Explanation:

The formula for determining the area of a rectangle is expressed as Area = length × width

The width of the top of a letter box is 6 inches. The area of the top of the box is 48 square inches. Therefore,

Length = 48/6 = 8 inches

The formula for determining the perimeter of a rectangle is

expressed as

Perimeter = 2(length + width)

The Perimeter of the top of the box is

Perimeter = 2(8 + 6) = 2 × 14 = 28 inches