In this lesson, students learn to solve a geometry word problem using the equation for the area of a rectangle. By factoring a quadratic trinomial, students discover the possible values for the length and width of a rectangle with an area of 54 square feet. After checking the dimensions against the picture, students find that the length of the rectangle is 9 feet and the width is 7 feet.
This is a Word Problem you solve by writing an equation and factoring. Word Problem 3 - Area of a Rectangle-Use the info from a picture of a rectangle to find the length and width is its area is 54 sq. ft.
How can you use the information from a picture that one pair of sides of a rectangle is x - 1 and the other pair is x + 2 to find the length and width of the rectangle if the area is 54 ft^2?
How do you solve geometry word problems by writing, factoring, and solving quadratic equations?
How do you solve (x + 2)(x - 1) = 54?
How do you solve a quadratic equation if it does not equal zero?
How do you know when an answer to a quadratic equation does not make sense in a word problem?
How can you check to make sure that your answer is correct in a word problem?
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The problem shown in this lesson is a classic word problem in math. You have to know the area formula for a rectangle, write out an equation that ends up multiplying out to a quadratic equation. This is a great tutorial.