If a = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft, what is the area of the living room and hallway together?

The area of the living room and hallway together = 437ft²

Question:

The complete question related to the one above found at 'Geometry in class' is stated below:

Abbey is getting new carpet in her living room and hallway.

The following diagram shows the two together.

If = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft, what is the area of the living room and hallway together?

Find attached the diagram of the question.

Step-by-step explanation:

To determine the area of the living room and hallway together, we would break the diagram into two rectangles.

Calculate the area of each and sum the two outcomes together.

Find attached the diagrams of the solution.

Given: a = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft,

Area of rectangle = length × breadth

Area of rectangle 1 = a × (d-b)

= 38 × (19-15) = 38× 4

Area of rectangle 1 = 152ft²

Area of rectangle 2 = c × b

= 19 × 15 = 285

Area of rectangle 2 = 285ft²

The area of the living room and hallway together = Area of rectangle 1 + Area of rectangle 2

= 152ft² + 285ft²

The area of the living room and hallway together = 437ft²

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step-by-step explanation: