Question

The diagram shows the outline of a dining room with a bay window. Explain how to find the area of the room.

Answer 1

Answer:

Sample Response: Break the figure into two rectangles and two triangles. Find the area of each using the formulas A=bh and A=1/2bh. The sum of the areas is the area of the dining room.

Answer 2

Answer: Divide the room into two figures (a rectangle and a trapezoid), then find the area of both figures and add them in order to calculate the area of the dining room.

Step-by-step explanation:

Divide the room into two figures: a rectangle and a trapezoid (as you can observe in the picture attached).

You need to find the area of the trapezoid and the area of the rectangle and then add them. This sum will be the area of the dining room.

First, you need to remember that:

1. The area of a rectangle can be calculated with this formula:

$A_r=lw$

Where "l" is the lenght and "w" is the width of the rectangle.

2. The following formula is used to calculate the area of a trapezoid:

$A_t=h(\frac{B+b}{2} )$

Where "B" and "b" are the bases of the trapezoid and "h" is the height of the trapezoid.

Therefore, the area of the dining room will be:

.$A_{room}=A_r+A_t\\\\A_{room}=lw+h(\frac{B+b}{2} )$