To find the area of a figure like this, first split this into two shapes to make things simpler: a 10 by 8 rectangle, and a triangle with a height of 5 and a base of 4. To find the dimensions of the triangle, notice that the base of the entire figure is 12 and once you split the figure into a rectangle and a triangle, you get one side that is 8 which means the base of the triangle must be 4. Now that we know the dimensions of each figure, start by finding the area of each one. To find the area of the rectangle, multiply its length by its width, or 10*8. This would give you 80. Then, find the area of the triangle, which is multiplying its base and height and dividing it by two. This would be (4*5)/2. This would equal 10. Now that we have the area of both the sections in the figure, add them together and you get your answer as 90.
Sit tight, this is gonna be long!! =P
Also, for this answer, I'm assuming that the 'expressway' mentioned in your question is the top horizontal line. (In fact, that must be the expressway, since there would be no other way to solve the problem)
Okay, let's get started.
For starters, GY = 16 ft. That much is given to us in the question. GY's equivalent is BX, which is 10 ft. When the angles are mirrored like they are across the 'expressway' in this problem, they do not change, so we only need to put the dimensions to scale. If we divide 10 / 16, we see that the scale-down factor is .625, or 62.5%. With this information, we can find the length of XW.
How, you ask?
Well, let me tell you.
Again, when the angles are mirrored like this, they do not change. We can see that the 90 degree angle also does not change. The length of YZ is 20 ft. To find WX, we simply need to multiply YZ by our scaling factor of 62.5%. Doing so will give us our answer of 12.5 ft.
The expressway is 12.5 feet from point W.
I hope that helped, and I _really_ hope I did that right! =P
Answer:
31.5 cm²
Step-by-step explanation:
Calculate area of a triangle with this formula:
Area =
base * height
Substitute in known values
Area =
7 * 9
Multiply 7 by 1/2
Area = 3.5 * 9
Multiply
Area = 31.5 cm²
Hope this helps :)
Answer:500 I hope this helpful
Step-by-step explanation:
3000 divided by 48 times 8
To make the calculation easier, first multiply the numbers that result in multiples of 10
24000 divided by 48
Divide the numbers
=500