An isosceles right triangle with legs of length 16 is partitioned into 16 congruent triangles, as shown. The area of the shaded region is ___ square units.
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We know we have to find the area of each triangle. Once we know the area we subtract the small triangles from the area of the big triangle.
Well the area of the isosceles triangle has to be 256 because you do lenghth times width and 2 of the sides have to be the same. Then if there are 16 triangles inside maybe you 256 divided by 16? Then once you find the area of the little triangles you subtract that from 256.
First one should find the area of the large triangle. To find the height /width of the triangle just divide by 4. Then one should do 4 (height) times 4 (base) and then divide by two. This shows you the area of one triangle. Count of the number of shaded triangles times that by 8 (Area of triangle) than subtract fropm the area of the large triangle.
You could find the area of the big triangle divided by how many little triangles there are. then add the amount of magenta triangles.
First you should find the area of one little triangle and then multiply that by 16.
First you should find the area of one little triangle and then multiply that by 16.
First you would find the area of one little triange like alexandra said then you find the area of the big traingle which would be 16 times 16 times something then you would subract the area of one little triangle times 6 and then you would have the shaded reigion
Since an isosceles right triangle has two sides with the same length then the bottom length is also 16. There are 4 little triangles on each side so you divide the side lengths by 4. Then you can get the area of each triangle by multiplying the lengths by the widths. Then multiply that by 10 (the number of shaded triangles).
there are 8 full squeares in the triangle, meaning that you do 16 divided by 2 equaling each square with a sde of two and an area of 4, then you count how many shaded parts there are and multiply by two because each is half a square
if you look at the left side of the triangle you can put together the white and purple triangles to make boxes and the side of one purple triangle has a length of 4. Also if you find the area of one of the boxes and divide it by two, then make the four triangles on the right side into boxes and add the area of the those two boxes, to the area of half the purple and white boxes that should give you the answer.
I believe that the answer is 10/16 of the original area of the triangle
well, i think you have to find the area of the whole big triangle then take away the area of all the little white triangles. (i kno the area of the big triangle is sumthing like 1/2 base times height)
you know that two of those little triangles together makes a square, so if you put all the white triangles together, it makes a row across the bottom, the you can find the area of the big triangle subtract the area of the rectangle.
You just have to find out the area of one little triangle and multiply that by 16 and then subtract 6 of those triangles to get that number.
you have to find the area of the whole triangle which is half of 16 x 16 and then subtract the area of 6 of the white triangles.
isosceles have two sides that are the same, therefore you mulityply 16 by 16 and then subtract the white area
Remember...the formula for the area of a triangle?
So if each side of a shaded triangle is 4 like many of you discovered, the area of each triangle would be 8. There are 10 shaded triangles so the total area is 80 square units.
The purple triangles are equal to the white ones. The length of one side of the purple triangle has to be 4 because 4 sides fit into a length of 15. Then you must do half base times hight to get the area of the triangles. Then you just have to multiply by 6.
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