Yellow region area
Three squares with side lengths
and
, respectively, are joined as shown. Find the area of the yellow region.
The answer is 14.
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1 solution
The area of the yellow region is equal to the sum of the areas of the three squares minus the sum of the areas of the four triangles. We have,
7
2
+
5
2
+
3
2
−
2
1
(
1
5
⋅
7
+
7
⋅
2
+
5
⋅
2
+
3
⋅
3
)
=
1
4
.