3rd Period Quadratic area problems

Front

What is the formula for the area of a rectangle?

Back

Area = Length × Width

Front

If the width of a rectangle is 8 meters less than its length, how can we express this relationship algebraically?

Back

Width = Length - 8

Front

What is the first step to solve for the dimensions of a rectangle when given the area?

Back

Set up the equation: Area = Length × Width.

Front

In the equation x(x-8)=84, what does 'x' represent?

Back

'x' represents the length of the rectangle.

Front

How do you find the width if the length of a rectangle is known?

Back

Width = Area / Length.

Front

What does it mean if the width of a rectangle is described as '5 times the length'?

Back

Width = 5 × Length.

Front

If a rectangle has an area of 72 square meters and the length is 6 meters more than the width, how do you express the length?

Back

Length = Width + 6.

Front

What is the relationship between the dimensions of a rectangle and its area?

Back

The area is the product of its length and width.

Front

How can you check if your calculated dimensions of a rectangle are correct?

Back

Verify by substituting the dimensions back into the area formula.

Front

What is the significance of the quadratic equation in solving area problems?

Back

It allows us to find the dimensions when the area is expressed as a product of linear expressions.