The floor plan of a house is shown below. Determine the area covered by the house.
$1005 feet^{2}$
$1006 feet^{2}$
$1007 feet^{2}$
$1008 feet^{2}$
Explanation:
Let's first divide the diagram of the house into two rectangles and a trapezoid, since we can calculate the area of each of these figures.
Now, the area of the larger rectangle=$40 feet \times 20 feet$
$=800 feet^{2}$
The area of the smaller rectangle=$25 feet \times 6 feet$
=$150 feet^{2}$
The area of the trapezoid A=$\dfrac{1}{2}h\left(b1+b2\right)$
The height (h) is 6 feet, and the two bases (b1 and b2) are 8 and 11 feet.
A=$\dfrac{1}{2}6\left(8+11\right)$
A=$\dfrac{1}{2}6\left(19\right)$
=$57feet^{2}$
Therefore Adding all three areas gives a total area of the house =800+150+57
$= 1,007 feet^{2}$
