larger triangle is made from smaller, similar triangles. The perimeter of this larger triangle is 32 times larger than the perimeter of one of the smaller triangles. How many smaller triangles are used to form this larger triangle?

The large triangle has a perimeter that is 32 times the perimeter of the small triangle. Perimeters are linear measures, so the linear scale factor from the small triangle to the large triangle is 1:32. That means that the base of the large triangle measures 32b, and the height of the large triangle measures 32h.

The area of the large triangle is

base × height / 2 = (32b)(32h)/2 = 512bh

Now we compare the areas of the the large triangle and the small triangle by division.

512bh / (bh/2) = 512 × 2 = 1024

Answer: 1024

larger triangle is made from smaller, similar triangles. The perimeter of this larger triangle is 32 times larger than the perimeter of one of the smaller triangles. How many smaller triangles are used to form this larger triangle?​

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larger triangle is made from smaller, similar triangles. The perimeter of this larger triangle is 32 times larger than the perimeter of one of the smaller triangles. How many smaller triangles are used to form this larger triangle?