diff --git a/src/Geometry.cc b/src/Geometry.cc
index 5eaab26..f78b14c 100644
--- a/src/Geometry.cc
+++ b/src/Geometry.cc
@@ -1,5 +1,7 @@
 #include "Geometry.h"
 
+#include <Eigen/Dense>
+
 void Geometry::setTransform(const Matrix4f &transform) {
   this->transform = transform;
 }
@@ -13,4 +15,18 @@ bool Sphere::intersect(const Ray &r) const {
   return b * b - 4 * a * c >= 0;
 }
 
-bool Rectangle::intersect(const Ray &r) const { return false; }
+bool Rectangle::intersect(const Ray &r) const {
+  Vector3f normal = (p2 - p1).cross(p3 - p1).normalized();
+  float d = normal.dot(p1);
+
+  float denom = normal.dot(r.getDirection());
+  if (abs(denom) < 1e-6f)
+    return false;
+
+  float t = (normal.dot(r.getOrigin() - p1) - d) / denom;
+  if (t <= 0)
+    return false;
+
+  Vector3f p = r.getOrigin() + t * r.getDirection();
+  return true;
+}