The scale of two similar triangles is 1:4. The perimeter of the smaller triangle is 60 centimeters. What is the perimeter of the larger triangle?
P = 4 * 60 = 240 cm.
To find the perimeter of the larger triangle, we need to use the fact that the scale factor of the two similar triangles is 1:4.
The scale factor tells us that each side of the larger triangle is 4 times as long as the corresponding side of the smaller triangle.
Since the perimeter of a triangle is the sum of its three sides, we can find the perimeter of the larger triangle by multiplying each side of the smaller triangle by 4 and then adding them up.
Let's say the side lengths of the smaller triangle are a, b, and c. Then the corresponding sides of the larger triangle would be 4a, 4b, and 4c.
Given that the perimeter of the smaller triangle is 60 centimeters, we can write the equation:
a + b + c = 60
To find the perimeter of the larger triangle, we multiply each side length by 4 and add them up:
4a + 4b + 4c = 4(a + b + c) = 4 * 60 = 240
Hence, the perimeter of the larger triangle is 240 centimeters.