Here is a diagram of a birdhouse Elena is planning to build. (It is a simplified diagram, since in reality, the sides will have a thickness.) About how many square inches of wood does she need to build this birdhouse?

The square inches of wood that Elena needs to build this birdhouse are:

286 square inches.

Step-by-step explanation:

To easily identify the amount of wood required to build the birdhouse, the area of each wooden board should be calculated (six in total) and in the end add them, remember that:

Area = base * height.

Then we proceed to calculate the area of each part of the birdhouse:

Roof area = 7.5 in * 5.5 in Roof area = 41.25 in ^ 2 Front area = 9.25 in * 5.5 in Front area = 50,875 in ^ 2 Shortest side part area = 9.25 in * 5.5 in Shortest side part area = 50,875 in ^ 2

Since the table of the lateral zones is not regular rectangular but has one side longer than the other, we calculate the area with the shortest zone and add the area of the triangle that would form on it:

Side triangle area = (5.5 in * 1 in) / 2

The height is taken as 1 inch since it is the difference between the longest side (10.25 in) and the shortest side (9.25 in)

Side triangle area = 2.75 in ^ 2

So the area of each lateral area is 50,875 in ^ 2 plus 2.75 in ^ 2, giving a total of 53,625 square inches on each side since they are two equal sides (right and left), the value of their two areas it is 107.25 square inches.

Back area = 10.25 in * 5.5 in Back area = 56.375 in ^ 2 Base area = 5.5 in * 5.5 in Base area = 30.25 in ^ 2

Adding all the calculated areas we obtain:

Total area of wood required = 41.25 in ^ 2 + 50,875 in ^ 2 + 107.25 in ^ 2 + 56,375 in ^ 2 + 30.25 in ^ 2

The total area of wood required = 286 in^2

Large drink=l
small drink=s
s=l-50
so 1 small drink =l-50
and 3 large drinks=3l
so the total = l-50+3l
simplified=-50+4l or 4l-50