1. A manufacturing company manufactures a cardboard box with asquare base and a height of 15 inches. Suppose the equationx² +60x- 7,200 = 0 can be used to find the length andwidth of the base of the box, each measuring x inches.

Write the equation in factored form.

Use the zero product property to solve the equation. Show allthe steps needed to find both answers.

Explain how the solution relates to this situation

2. City engineers decide to build a rectangular dog park thathas an area of 3,600 square yards, where the length of the park is10 more yards than twice its width. The equation x²+5x-1,800 = 0 can be used to find the width of the dog park.

Write the equation in factored form

Use the zero product property to solve the equation. Show allthe steps needed to find both answers.

Explain how the solution relates to this situation.

3. A graphic designer uses a photo editing program to increaseboth the height and width of a square image by 3 inches. Supposethe equation x² +6x-55 = 0 can be used to find theheight and width of the original image.

Write the equation in factored form.

Use the zero product property to solve the equation. Show allthe steps needed to find both answers.

Explain how the solution relates to this situation.