Rectangle Dimensions and Quadratic Equations

The video tutorial addresses a quadratic word problem involving a rectangle with a known area of 114.4 square meters. The length is 14 meters longer than the width. The instructor sets up a quadratic equation using these conditions and solves it using the quadratic formula. The solution involves calculating the width and length of the rectangle, resulting in a width of approximately 5.783 meters and a length of approximately 19.783 meters.

What is the area of the rectangle mentioned in the problem?

• 100 square meters

• 114.4 square meters

• 120 square meters

• 130 square meters

Tags

CCSS.2.MD.B.5

How much longer is the length of the rectangle compared to its width?

• 10 meters

• 12 meters

• 14 meters

• 16 meters

Tags

CCSS.6.EE.B.6

What expression represents the length of the rectangle in terms of its width?

• W + 14

• W + 12

• W + 16

• W + 10

What type of equation is formed to solve for the dimensions of the rectangle?

• Exponential equation

• Cubic equation

• Quadratic equation

• Linear equation

Tags

CCSS.6.EE.B.7

What is the purpose of subtracting 114.4 from both sides of the equation?

• To factor the equation

• To eliminate the variable

• To make one side zero

• To simplify the equation

Tags

CCSS.HSA-REI.B.4B

Which formula is used to solve the quadratic equation in this problem?

• Factorial formula

• Binomial theorem

• Quadratic formula

• Pythagorean theorem

Tags

CCSS.HSA-REI.B.4B

What is the value of B in the quadratic formula used in this problem?

• 0

• -14

• 14

• 28

Tags

CCSS.HSA-REI.B.4B

What is the approximate width of the rectangle as calculated in the solution?

• 7.78 meters

• 5.78 meters

• 8.78 meters

• 6.78 meters

Tags

CCSS.8.EE.A.2

What is the approximate length of the rectangle as calculated in the solution?

• 19.78 meters

• 17.78 meters

• 21.78 meters

• 15.78 meters

Tags

CCSS.8.EE.C.7B

What is the final step in verifying the solution to the problem?

• Recalculating the area

• Rewriting the equation

• Checking the arithmetic

• Summarizing the results

Tags

CCSS.8.EE.C.7B