Steve makes a banner with an area of 8 square feet. On a grid, draw all possible rectangles with an area of 8 square feet and sides whose lengths are whole feet. Label the lengths of two adjacent sides of each rectangle. Label each rectangle with its perimeter.

The correct answers are with side lengths 1 feet and 8 feet, the perimeter is 18 feet; and with side lengths 2 feet and 4 feet, the perimeter is 12 feet.

Step-by-step explanation:

The area of a rectangular banner is 8 square feet.

The side lengths of this rectangular banner are whole numbers.

Thus the possible pairs of side lengths that would give 8 when multiplied with each other are (1 , 8) ; (2 , 4).

So the possible side lengths are 1 feet and 8 feet or 2 feet and 4 feet.

The perimeter when the side lengths are 1 feet and 8 feet are 18 feet.

The perimeter when the side lengths are 2 feet and 4 feet are 12 feet.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,