Answer:
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.
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