Answer:
1/16
Step-by-step explanation:
Area is the product of linear dimensions.
Suppose the area of the triangle is the product of two dimensions p and q*:
A = pq
Then the smaller triangle will have an area that is ...
A = (1/4p)(1/4q) = (1/4)²pq = (1/16)pq . . . . . . 1/16 of the original area
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If each of the linear dimensions of the triangle is multiplied by 1/4, the area will be multiplied by (1/4)² = 1/16.
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* No doubt, you have learned the area formula for a triangle is ...
A = (1/2)bh
In the above, we might have p=1/2b and q=h. Or, there could be some other relationship between triangle dimensions and p and q.
