What will that area of the AFK angle in the triangle below if they - ProProfs Discuss Topics More Products More   + Ask Question

# What will that area of the AFK angle in the triangle below if they are of angle DFH 10? The figure above is composed of 25 small triangles that are congruent and equilateral.

A. 40
B. 42.5
C. 50
D. 52.5
E. 62.5

This question is part of SAT Section 1 - Group 2
Asked by Riddhi, Last updated: Feb 17, 2020

### Request 0Follow Share     Answer AnonymouslyAnswer Later Copy Link   #### maragrant

Maragrant Just divide 10 by 4 (number of triangles in dfh) to get the area of 1 triangle, then times that by 25. 1   #### Matz Lewis Clark

Traveler and writer by profession.

Matz Lewis Clark, College student, Graduation, Orlando

The area of the triangle DFH is 10 and there are 4 small triangles within this area, since all the triangles are congruent and equilateral, it means the area of 4 small triangles is equal to 10
Area of DFH = Area of 4 small triangles = 10

To find the area of AFK which consist of 25 small triangles is to first divide 25 triangles by 4 triangles to find out how many 4 triangles AFK contains.
25/4 = 6.25

This means the big triangle (AFK) contains 6 (four triangles) and a quarter (of four triangles)
Area of AFK = area of four triangles number of four triangles in the big triangle
= 10 6.25
= 62.5
Therefore, the area of AFK is 62.5)        #### mmmaxwell

Mmmaxwell

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