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vishalkazone
P- Mid point of AC—and R mid point of PC
Means RC is ¼ of AC
Q- Mid point of BC—and S is mid point of BC
Means SC is ¼ of BC.
Triangle RSC , QPC and ABC are similar
We know in similar figures
A1/A2 = (Length of side of figure 1 / Length of side of figure 2 ) ^2

A1/ A2 = (¼) ^2= 1/16
Statement 1: Area of ABP is 40.
Area of ABC= 80
We can find out area of CRS. i.e. 80 *(1/16). Sufficient.

Statement 2:
The length of one of the altitudes of triangle ABC is 12.
NO information about Base. To find out area.
Not sufficient.

Answer: A

can you explain this statement? A1/A2 = (Length of side of figure 1 / Length of side of figure 2 ) ^2
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An area is basically length times length in some form. Think about a square with a length of 1 and another square with a length of 2, the square of length 2 has four times the area of the smaller one because both the length and width of the smaller square doubled. Therefore when we compare the area of two similar triangles, the area ratio is the length ratio squared, as both widths and heights have that same length ratio.
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