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Geometry Level 1

The 16 × 24 16 \times 24 rectangle above is cut up into 4 triangles, 3 of which have perimeters 48, 36, 56, respectively, as indicated by the numbers inside them.

What is the perimeter of the remaining green triangle?


The answer is 60.

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Chung Kevin by Chung Kevin , 45, Australia

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3 solutions

Sudhamsh Suraj
Mar 8, 2017

Sum of given three triangles perimeter = 48 + 36 + 56 = 140.

Now observe that , 140 = 2(16+24) + required triangle's perimeter.

So therefore, required triangle's perimeter = 140 - 80 = 60 .

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Add the perimeters of the 3 triangles perimeters to get the length of all the lines on the diagram F. F= 48 + 36 + 56 = 140

Perimeter of the outer rectangle R is: R = 24 + 24 + 16 + 16 = 80

If we want just the perimeter of the green triangle G you need to take away the perimeter of the outer rectangle from the full set of lines. G = F - R G = 140 - 80 G = 60

Lisa Tweedie - 3 years, 6 months ago
Toshit Jain
Mar 8, 2017

10 Helpful 0 Interesting 0 Brilliant 0 Confused
Venkatachalam J
Mar 23, 2017

Relevant wiki: Length and Area Problem Solving

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