Question

Translate each sentence into a formula. The area of a kitchen is 182 square feet. This is 20% of the area of the first floor of the house. Let F represent the area of the first floor. Write an equation to represent the situation.

Answer 1

To translate the scenario into a formula, we express the kitchen's area as a percentage of the first floor's area, resulting in the equation 182 = 0.20 * F. Solving for F, we find the area of the first floor to be 910 square feet.

Step-by-step explanation:

The question relates to creating an equation from a provided scenario. The scenario states that the area of a kitchen is 182 square feet which is 20% of the area of the first floor of the house. The task is to write an equation involving the variable F .that represents the area of the first floor.

To convert this scenario into an equation, we can use the concept of percent to express the kitchen's area as a fraction of the first floor's area. Since 20% can be written as 0.20 when expressed as a decimal, we can set up the equation as follows:

Area of kitchen = 0.20 × Area of first floor

Substituting the given area of the kitchen and the variable F for the first floor area, we get:

182 = 0.20 × F

To solve for F:

1. Divide both sides of the equation by 0.20:
2. F = 182 / 0.20
3. F = 910