diff --git a/modules/core/include/opencv2/core/types.hpp b/modules/core/include/opencv2/core/types.hpp
index d5c64ca787..13cbe68981 100644
--- a/modules/core/include/opencv2/core/types.hpp
+++ b/modules/core/include/opencv2/core/types.hpp
@@ -1592,7 +1592,10 @@ Size_<_Tp>& Size_<_Tp>::operator = (const Size_<_Tp>& sz)
 template<typename _Tp> inline
 _Tp Size_<_Tp>::area() const
 {
-    return width * height;
+    const _Tp result = width * height;
+    CV_DbgAssert(!std::numeric_limits<_Tp>::is_integer
+        || width == 0 || result / width == height); // make sure the result fits in the return value
+    return result;
 }
 
 template<typename _Tp> static inline
@@ -1731,7 +1734,10 @@ Size_<_Tp> Rect_<_Tp>::size() const
 template<typename _Tp> inline
 _Tp Rect_<_Tp>::area() const
 {
-    return width * height;
+    const _Tp result = width * height;
+    CV_DbgAssert(!std::numeric_limits<_Tp>::is_integer
+        || width == 0 || result / width == height); // make sure the result fits in the return value
+    return result;
 }
 
 template<typename _Tp> template<typename _Tp2> inline